Let us suppose that Rachel, who is now training dogs under the watchful eye of PRT/BBPD, gets approached by a RsOB (aka a god or demigod) related to wolves. I beleive Rachel would actually decline the gift, because somewhere deep down, she knows her powers haven't made her life any better. But, on off chance she took the offer, she gains a Changer ability. As such, she would keep her current alignment, and would still be Rachel, though one that looked like a wolf.
Now, however, we flip to the other possibility. An actual werewolf, a sufferer of lycanthropy, gets loose in Brockton Bay. Before getting mauled by any one of the heroes present (Armsmaster : "I have planned for such a contingency." (The halberd blade switches out for a silvered one)), bites Rachel. Panacea heals her up using her powers, which completely miss the lycanthropy. First full moon, and all of her dogs wind up dead, mauled by a large animal. This continues, three nights every twenty-eight (night before, night of, and night after the full moon), until someone puts 2+2 together (probably Lisa) and gets an answer that equals 4 instead of Banana or Kumquat. And during all this Rachel (and any other people she infects) suffers.
The difference between the two is that the gift is less likely to screw you over. Lycanthropy is a curse, and solely exists to make the affilicted and those around them suffer. Thus, there really is one of two ways out at this point : Find a cleric, and get Greater Restoration or Heal cast on you and atone for you deeds, or go down fighting, to be killed by your former friends and allies.