Since Amanda Lydecker pretty unlikely to win a spot right now I though I'd try to convince people to vote for her. Although from past experiences in quests this is likely a fruitless endeavor.
Amanda Lydecker by herself isn't that great. She is around 10 and it would be a long time before she would work for us. However what she does represent is connections. Her family is connected to the Terrible Trio. A secrete organization composed of the Lawford, Hardwick and Lydecker families that (according to the QM) are second only to the Court of Owls in their knowledge of Gotham and its secrets. They are noted as being extremely wealthy and they are involved in the occult.
Now does this matter to us? The Terrible Trio have spent over 2 centuries dabbling in the occult and fucking around in Gotham. The amount of knowledge they are going to be offer is significant. Especially since we have limited ways of fucking around with magic right now because of DOMA and our limited magic heroes. More than that as noted earlier they are second only to the Court of Owls in their knowledge of Gotham and its secrets. Guess what? The Court of Owls is about to be gutted by Ra leaving the Terrible Trio in the first place spot.
So we can potentially get magic resources, deep knowledge of Gotham and access to presumably a decent information network in the city (helps with World News and getting opportunities from it).
I think the magic and information network are the most important things we could get from them. They are going to be more morally like Lex compared to an organization like DOMA that is run by Diana. Meaning the magics they share might be of the darker nature. Besides that just having another option to conduct trades with for magic would be great since our only potential source right now is DOMA (they don't actually want to help on that front) and demons.
Beyond that I think having one good solid ally in Gotham would be great for the long term. We have already seen one enemy run to Gotham for safety and many great hero units reside in the city. Having greater information on the city can allow us to recognize opportunities to exploit. And yes we are making inroads with Cobblepot and the Menagerie, but they are obvious. Everyone knows of them and is looking into them. There is nothing conspicuous about their organizations. Hell Gordon and Batman already suspect Selina of leading the Menagerie, but just haven't proven it yet. I don't think they would be great organizations to make deep ties with like Vertigo or Eiling.
The Terrible Trio aren't on anyone's radar from what we've seen in interludes. Nobody has ever mentioned suspicions of the Lawford, Hardwick and Lydecker families. False Face Society, Court of Owls, Cobblepot, Menagerie, and Rupert Thorne have all been called out. Hell they are so low key they aren't even mentioned in the OCC "A History of Organized Crime in Gotham" informational thread mark by King Crimson. That is how much under the radar they are

. I think as an ally in Gotham they are our best bet if we want to have a longer term relationship in the city.