I don't think OP came across as homophobic. Not being sure about a link between trans identifying kids and gay adults is healthy scepticism. It's honestly good not to go into this blindly believing everything you read online. The gender/trans debate right now seems to be at an awful peak reminiscent of the way the vaccine 'debate' was handled 10-15 years ago.
Nobody from the trans activist side is willing to address the concerns of 'what about this medication, this surgery, is it safe? Will it help?' As the overriding voice if you like is quite aggressive insistence that medication and possible surgery are the only solutions and a perfectly harmless one. That's silly because no medication is harmless, even calpol isn't harmless. We balance the risks of a medical or surgical approach against the probable outcome of letting the illness continue.
Conversely the gender critical viewpoint (and I will be honest and say that it's the side I fall on, because I think we have to be open here) doesn't seem to address the question:what if this child really is trans, what does that mean? All the focus is on proving that they must not be. It's difficult. You would think that the preferred solution if possible would be for the child to become comfortable with their natal sex, though of course this need not involve embracing the stereotypical gender roles associated with that sex. In fact I strongly believe that for many trans identifying kids, the key is to help them see the myriad ways of being female, or male, that don't rely on nonsense stereotypes in the first place. Then, if this is not possible, other options should be explored but I'm uncomfortable with these things being seemingly the first resort and/or seen as inevitable. Transition isn't particularly fun or glamorous, it's hard work, painful, potentially expensive, carries risk and it might not even solve the problem. For some people, though, it does seem to. I just wish it were easier to access a balanced point of view. Until that point, it's vital to keep reading EVERYTHING critically.