I know one trans woman very well. (she's a Quaker)
It was a later in life, long agonised over decision. she is a loving, tender and respectful person who would never cross boundaries if it hurt or threatened. I respect her choice. I love her for who she is, not who others imagine her to be never having met her.
I have no time for those who militantly choose to disrespect and invade women.
(At the gym there are a couple of women who I am pretty sure are trans. I have no idea how far along the process of treatment they are except they can pass as women - just. In the changing rooms they use the cubicles. If there were any sign of "willy waving" they would be hounded out by the women there: there are rules at the gym, as there are in many public places, about behaviour likely to distress or offend.)
Let me repeat: I dont have time and would oppose those who feel the need to aggressively force themselves into situations. I realise it is a very contentious area: for a recent meeting I did some research: for example Womens Aid England do not accept transwomen generally in refuges I say generally, for they dont ask these who come to them if they look, speak, act like a woman and who've been seriously abused.
..but Women's Aid Scotland does accept trans women and have thought it through with passion and care. but they would not accept anyone - natal women nor trans woman - who transgressed the boundaries of that situation.
My take on it is this: I believe that, for whichever reason, some women feel threatened by the very existence of trans women and cannot include them in their hearts and minds as women by gender. I do not feel threatened, although I would take action if I was. I feel proud of being a woman, and feel that a few additions to our number do not stop who I am leading my life as a women: indeed welcome some who wish to further Womens rights.
I'm a realist: I don't think that is viable for transwomen to join in natal womens sports, for example.
I think that over the last 30 years gender definitions have become more fluid. the old binaries of straight "men" and "women" may suit some but dont represent the realities of some peoples lives. For example, a number of people are and have always been bi-sexual, its just that its been behind closed doors, as gay people once had to be.
Open the doors, cease to be afraid, or simply nasty and hating. Be "picky". Call out those who are aggressively hating women deep down, and using gender issues as an excuse, and accept those like my friend who like most trans people want to live an ordinary life.