Transwomen are transwomen. Women are women.
Fully supportive of transwomen leading the lives they choose to, free from harrassment and discrimination. In order to achieve this I would suggest separate 3rd spaces for trans-identifying people. This would respect the fears and concerns of trans people, whilst also respecting the fears and concerns of women.
Not supportive of women-only spaces being open to any male who self identifies as 'female' - opportunists will be as able as genuine transsexuals to enter female-only spaces without question. Trans identifying people need a separate third space.
Not supportive of women's sport including transwomen, as ultimately this will lead to 'women's sport' no longer existing (see Iranian women's football team). Again, they need a third category.
Not supportive of self-identifying transwomen being transferred to women's prisons. Ian Huntley in a woman's prison poses a serious safe-guarding issue. Again, a third space is needed.
Not supportive of self-identifying transwomen having access to women's refuges, again for safe-guarding reasons. A third space is needed.
Not supportive of transwomen taking awards/positions created for women. Transwomen will not suffer the negative impact of childbirth and childcare on their careers. They will undoubtedly suffer discrimination in other areas of their lives BUT they should not be eligible for positions or awards created for women. Again, they should have their own awards and positions.
Why don't TRAs lobby for trans spaces, sports, prisons, positions, awards? It seems like the obvious solution.