The Texas Republican Party has rejected the LGBT group's application for a booth at the convention at least since 1998.
The president promised to "ensure that all Americans live in a country where they feel safe and where their opportunities are limitless."
A gay Republican group says the deal could be renegotiated to include human rights protections, but others say this is unlikely.
Prominent LGBT Republicans condemned the president for his discrminatory action.
In this exclusive clip, a Log Cabin Republican describes Trump's appeal on Chelsea, which airs Fridays on Netflix.
In a new sketch video from Chris Bryant and Ryan Leslie Fisher, comedian Nik Dodani goes on a date with a gay man who voted for "our president."
The professor who famously suggested Peter Thiel isn't gay now questions all LGBT Republicans.