Nothing wrong about LGBTQ in and of itself, but some who are already shy about broadcasting the fact that they're a furry might be even more concerned to do so if they think people will assume that it also makes them gay...it's that sort of deal for some. The other thing to keep in mind is that FAF is pretty much the exact opposite of most furry websites, this seems to be the place where people go to avoid the fluff and hugginess of the other furry forums, so generally things that come off as overly bright and fluffy are going to be criticised here.
I'm more of a person who appreciates balance. Your page is off to a great start, I'd hate to see it be considered a gay/bi furs only page when it's actually for all furs, so I do agree with keeping the look of it kind of neutral. That said, the rainbow is meant to stand for inclusiveness, which I understand, but for many, rainbow simply means "gay."
by all means keep it happy and inviting though. Just not too over the top. Best of luck in your endeavors.
Edit to add: On the bottom right hand side of every post there is a quotation box with a little + sign next to that. If you click that for each person you wish to respond to, and then click "Reply to Thread" at the bottom, you can reply to everyone at once in a single post through the use of "multiquote". That button makes it so that you dont have to respond to each of us individually.