I know you people know very little about the LGBT community but you should know at this point that to be GC is to be a very small minority in the community.
A recent YouGov survey found the following :
83% of the UK population do not think, or don't know whether a transitioned male should compete in female sports.
66% of the UK population do not think, or don't know whether a transitioned male should use a women's changing room.
This changed to 75% without surgery.
62% of the UK population do not think, or don't know whether a transitioned male should have access to female toilets.
This changed to 71% without surgery.
61% of the UK population do not think, or don't know whether a transitioned male should use women's refuges.
68% of the UK population indicated that they believed that Transitioned males using single sex spaces 'does present a genuine risk of harm' or 'don't know'.
67% of the UK population indicated that 'giving increased recognition and rights to transgender people poses a genuine risk to some women's rights' or didn't know.
Now it is not peer reviewed… but I think we can safely discount your erroneous claim that people who don’t believe that people can change sex and that female’s needs and rights should not be negatively impacts by those of another group are a minority.