I can see him being apathetic towards them: if they get married, that's not my problem, but if they get "conversion therapy," that's also not my problem.
Now, I'm not sure that bigotry is the right word for that. But it is something at least as monstrous.
(Also, as a tangent: let's please not confuse gay marriage with "LGBT" as a whole. Trump has come down firmly on the evangelicals' side about trans people and bathrooms. If we mean "LGB" or "gay marriage", we should say what we mean.)
I believe Trump's administration will focus on pressing trade/economics and foreign policy issues, not bathroom identification issues, which affect 0.3% of the population.
To people disappointed with his victory, the consoling fact should be that Trump is not a religious nut. Yes, he said things about Supreme Court/abortion - as a Republican, you have to, to win the primaries.
Also, while these issues directly affect 0.3% of the population, it is a subset of the 99.7% of the population that's calling for these bills. Perhaps enough of a subset that he'll continue wanting to please the religious supporters.
Compromise.
Does no one remember when Obama was against and would not support gay marriage?
http://nbcpolitics.nbcnews.com/_news/2012/05/09/11623172-the...
Also, and maybe I'm missing something because I'm not personally affected by this, but I think there's quite a difference between telling two adults they can't get married, and telling a child that they're going to be miserable and flawed their whole life if they don't figure out how to be straight, and we'll give you electric shocks to condition you out of being gay.
Or between telling two adults they can't get married, and telling an adult they can't use the bathroom. (Which is the effective result of the bathroom bills: a trans person is legally unwelcome in one restroom and socially unwelcome, to the point of causing legal trouble until a judge looks at their birth certificate, in another.) I would much prefer never to be able to get legally married than never to be able to use a public restroom.
There are plenty of anti-gay-marriage people, even evangelicals, who don't support "conversion therapy" and who don't believe that government should be regulating which bathroom you're using. I would be very willing to call someone liberal on LGBT issues despite picking, say, Obama of 2004 as their running mate.
While Clinton mastered the "experienced, competent" persona, what she actually did was mostly driven by her ambition to become the first female president.
Trump, who has been accused of being a bigot, has always been very liberal towards LGBT (see his interview for Rolling Stone from a few years ago), while Hillary had been strongly against gay marriage until it became very clear public opinion changed in favor of it.