Okay, now exercise your ability to extrapolate, and consider the situation if you were female...
Exercising my ability to extrapolate...

rolleyes
...if I were
female a cis woman*, I'd welcome trans women to their new identity, but I'd certainly want to try as hard as I could to ensure that my own rights and protections - and those of all cis women - were respected,
within reason.
For example, to take the thorny old changing rooms issue, I'd want to seek a level of assurance that all reasonable steps were going to be taken to maintain the personal safety of cis women - for example, I'd like to see things such as pre-registration (in staffed venues), and some level of proof of transgender identity**. And I'd probably like to see some level of CCTV coverage in these sorts of women's changing rooms, which could only be accessed and viewed if there were allegations of criminal offences.
Plus, on a more general level, I'd also probably want to see legislation regarding sexual and physical assaults to be modified - in order to ensure that attacks/assaults within gender-segregated spaces were explicitly legislated in a more severe manner compared with attacks/assaults in any other place. I'd see this as the creation of a significant deterrent.
And lastly, I'd want to ensure that the situation was closely monitored in the early years - so that (for example) if it turned out that a) trans women were assaulting/attacking cis women within gender-segregated spaces in significant numbers, or b) cis men were being able to masquerade as trans women in significant numbers, and were then using this masquerade as an opportunity to attack/assault cis women...... I'd want to see the relevant laws and regulations re-evaluated in this light, and amended as required. I've stated this several times previously as well.
* Using the term "female" is of no use here, since trans men also belong to the set "females". The correct term is "cis women" (or alternatively, "those females who identify as women").
** And note that while I realise that this could potentially be viewed as discriminatory treatment of trans women (as opposed to the treatment of cis women), I'd suggest - as I have done many times before - that these sorts of things would be a price worth paying by trans women, in order to a) enable them to have their wider rights respected, while b) recognising the need to engage in a form of social contract in order to respect the reasonable concerns of cis women.