A study was conducted by UCLA which sought among other things to determine the suicide rate of transgender men (biologically female gender behavior male) and transgender women (biologically male gender behavior female)   \cite{jd889a}.
Suicide attempts among trans men (46%) and trans women (42%) were slightly higher than the full sample (41%).  Cross-dressers assigned male at birth have the lowest reported prevalence of suicide attempts among gender identity groups (21%). \cite{jd889a}.
The issue is that this study has been used by those like Ben Shapiro to argue that transgender people should not be treated according to the proven WPATH standards of care.  Those standards recommend intensive psychological counseling, a long period of real life living as a transgender person in society, followed at the very end by surgery IF requested and with the approval of two PhD'd psychologist and the patients MD. \cite{wpath2001}