I have not read anything that directly suggests he isn't supportive of Gay rights but he has brought several people into his cabal that are quite clearly anti Gay, notably Pence and DeVos. I could and will, if you like, mention others in his cabinet that hold similar views. My question to you Layla, why would he have such individuals in such important decision making positions if he did not also hold their beliefs? 

Take a peak at these links.

http://www.lgbtqnation.com/2016/07/mike-pences-top-seven-homophobic-moments-many/

http://www.towleroad.com/2017/01/betsy-devos-gay-conversion-therapy/