Speaking as a transgendered ftm, I say yes but not as much as in other countries. In America, at least I have a chance to live my life and not be stoned to death. So I guess I should be grateful that my biggest problem is not getting beat up and finding a job.
I also think that my generation is much more accepting of the diversity of our species than previous generations. I have a loving community and, at least with more educated and intelligent people, there is a growing understanding that either (i) there is no God who would damn me or (ii) if there is a God, he isn't that preoccupied with my sexual orientation or identity.
Is not being able to get married, "oppression?" If so, it certainly a much milder form of oppression than was shown to African Americans or any nation conquered more than a few hundred years ago. The word is a bit too strong.
I would just say that we have made a lot of progress but have a ways to go.