A few things about the 'apple', and God's relationship with Adam and Eve for that matter.
EDIT: Fair warning, raised by a theologian, specifically a Baptist minister (one of the ones who don't suck) who has a Doctorate in Theology and is a very capable apologist (someone who defends their religion by explaining WHY things are the way they are with in their religion's context). This gets long, but is an effort to explain the context of this particular bible story in a way even many self described christians don't generally consider. Most people get a simplified version as a child in Sunday School and rarely spend much time on it once they've grown enough to consider it from a more mature and in depth perspective, or never went to church at all and picked up the basics through cultural osmosis.
THIS IS NOT AN INVITATION TO START ARGUEING ABOUT RELIGION. THEOLOGICAL KNIFE FIGHTS NEVER CONVERT ANYONE AND WOULD EASILY BECOME A MAJOR THREAD DERAIL.
Please direct any such responses through PMs and I'll happily reply though.
First, God specifically said 'Thou Shalt Not eat of the Tree of Knowledge of Good and Evil.' That's all. Nothing wrong with being around it or handling it. Adam and Eve were placed in the Garden to tend to it after all, kind of hard to prune a tree you can't touch.
Second, consider why God did this. Past the whole deal about being born a sinner, Christ's sacrifice and being told to ask forgiveness, one thing that never gets enough attention is that God is not arbitrary. Whenever he says 'Thou Shalt Not' you are expected to pay close attention, because if you go and do what you are being warned off from doing the consequences of your actions are really going to screw you over.
When the serpent tempted Adam and Eve into eating from the Tree he talked them into believing that God was holding out on them, that Knowledge of Good an Evil would make them more like God and that he wanted to hold them back. And in a very toxic way, like Gaunter O'Dimm mixed with Obiwan's 'from a certain point of view' bullcrap, he was correct. God knew and understood both Good and Evil, while Adam and Eve did not. The Garden had everything they needed. It wasn't some Roddenberry-esque post scarcity indolent paradise, they WERE put there to tend to the Garden, but tell me you can go a week without doing anything productive and not get restless. All their needs were provided for, and all they lacked was the Knowledge of Evil, which was foreign to them.
Eve takes a bite, and then gives some to Adam. It doesn't really translate to English very well, but in the original language the syntax leads one to assume that Adam is standing right there beside Eve while she's talking to the serpent, being a useless manblob. They eat the fruit, gain nothing but the Knowledge of Evil, and go from being Nude to realizing they're nekkid and rip up some leaves to hide their fiddly bits with. God enters the Garden for a visit (the understanding is that he does this fairly often) and they hide behind a bush so he won't see their shame. Let that sink in for a minute. It's GOD HIMSELF, the I AM, the omniscient and omnipotent creator of existence itself, inside his PERSONAL GARDEN.
And they hid behind a bush.
I always hear a tired Hank Hill sighing 'dang it Bobby,' at this point in the story.
So God asks them what they're doing. Bare in mind, he already knows what just went down, bit wants Adam and Eve to explain themselves. Picturing God as a stern but caring parent dealing with a particularly stupid and hardheaded child will go a long way towards explaining the context of most of his interactions in the bible.
Anyway, He asks them why they're hiding behind a bush and Adam says they were hiding. God says 'Well yeah, but why?' and Adam says they didn't want to walk around nekkid in front of God. God asks him if he did that ONE THING he was told not to do and ate from the Tree of Knowledge. Adam blames Eve, when he was right there and could have stopped the whole thing, and also insinuates it's God's fault for giving Eve to him.
Good job there Adam. You're probably sleeping on the sofa for the rest of time for that one.
Anyway, long story slightly less long. Adam and Eve rebelled and are now tainted. When Lucifer rebelled he got cast into the Pit till the end of creation and on into eternity past even that. Adam and Eve get booted out into the wild after God kills some of the animals he placed in the Garden and uses their hides to fashion something better than fig leaves for Adam and Eve to protect themselves with. Most theologians will tell you that this is the first example of God's mercy and a foreshadowing of Christ's eventual sacrifice.
Now, how does this factor into Pavlos stealing some of the Fruit to convert Blaze, and the Angel asking him to apologize? God is big on the whole Free Will thing, and has been from the day he created Adam, and tells us not to do certain things for our own well being. Adam was told not to eat from the Tree of Knowledge because he already new Good, and Evil would see him tainted and barred from the Garden, which also means losing access to the Tree of Life and eventually dieing.
Blaze though? While still being a Child of Man and having the capacity for Free Will, she is unable to seek Salvation because the circumstances of her birth means she can't comprehend Good and only has the Knowledge of Evil. Aquiring the Fruit of Knowledge so that she can be something other than a Demon? She and her brother are the only two Demons in existence who didn't choose to rebel against God's will and become a demon in the first place. She never rebelled and was never Cast Out, she was a Demon from the very beginning through no fault or agency of her own. Namely, she is what she is because she never had a choice in the matter and wants to be something else even though she isn't capable of understanding what that means. In that context, I see absolutely no reason God would not allow her to have the Fruit. For that matter, we're already deep into the realm of the supernatural, and while eating the Fruit has some fairly symbolic weight I could see God intervening directly and dropping a Miracle on her.
So, TLDR. God would likely be cool with Blaze eating the Fruit for the same reason the Angel just wants Pavlos to apologize, and both fairly neatly mirror the whole point to Salvation. Literally all you have to do is apologize, to admit your fault and want to be better, to take that very first step, and God covers the rest of the gap and wipes the slate clean.
Now granted, this is the DCU, and while Constantine is an unreliable narrator Hellblazers is still a Thing, so actual Theology and Doctrine can go cry in a corner. That being said, from a theological perspective Pavlos comes off as a bullheaded young man who lets a particularly shitty sunday school experience color his attitude towards a very powerful entity. Zeus the baby eating serial rapist got less flak than this, and 2 hours with any decent priest, minister or theologian would have made this whole thing go a lot smoother. Hell, he could have just ASKED for that matter but let his contempt for the Abrahamic religions to push him straight into a very risky heist, one that could have gone hilariously badly for him with just an ounce of bad luck.