I linked to the gender recognition bill earlier, the second hearing is in March, it was due on the 24 th of February but has been postponed. This would make gender, not sex, the protected characteristic.
I have experience of men who are autogynephiles which a lot of the late male transitioners are, they transition as they get a sexual thrill from dressing as the opposite sex. There are some fantastic transwomen who speak out about this like Miranda Yardley who is quoted in the Jenni Murray article.
You are describing an old school transexual, note the term sex is used. They are now transgender so if they have a penis it becomes a female penis, no need for surgery. They also become "lesbians" and harass female xx lesbians who will not consider them as sexual partners.
Self identification is the new norm. 80% of transwomen are intact males, no surgery. They commit crime at the exact same rate as men, funny that. Males are responsible for over 90% of all crime and 98% of sexual crime. Women and girls need, they deserve, sex segregated areas.
If we lose the right to have sex as the protected characteristic then that is the end to single sex facility's, game over.
The Brownies now accept "girls" based on gender self identification and we have lost the right to compete with our own sex in the Olympics, women are already losing sporting events to male bodied people. This has already happened, if the bill goes through then you cannot legally stop any man from entering a female area, or claiming a female award.
Transpeople deserve equal rights and opportunities, love, support and acceptance, but not at the expense of the entire female sex.