I agree with the others that their acceptance will be based on their own individual feelings.
As a whole though, many don't believe the T should be in GLBT. And I can understand why. G, L & B are related to sexual orientation, while the T is not.
I don't know the whole story, but the T got lumped in with the GLB movement many years ago and I don't believe it has benefited either side very well.
Jaie
