Sorry op but they already have all the rights that everyone else has, the UK Supreme Court has confirmed that, and confirmed it in a sensitive and sensible manner, if you read the 80+ page report. No rights are being taken away from trans people, it was overreach that caused women and children to lose rights, and posed a safeguarding risk.
The issue was organisations such as Stonewall and EDI initiatives influenced by them and other policies encouraged situations which meant that women (actual, biological women) no longer had single sex spaces for their privacy, dignity and safety.
For 99% of sexual assaults the perpetrators are male, with over 85% of the victims being female. These are crime stats from UK. Men, however they identify, are a risk and they should not be allowed into women's single sex spaces.
The push to do so resulted in a lot of issues. I'm from Scotland, and due to our government (and the determinism of Nicola Sturgeon) pushing the rights of these males over females has resulted in a rape crisis centre in Edinburgh being headed by a man identifying as a women (with no GRC either so legally male as well as biological). This man had no true counselling qualifications yet took it upon himself to counsel rape victims "to keep things fun" (his words) and speculated whether or not rape victims orgasmed during their experiences (again, his words). He also suggested that any women traumatised by having a male in a rape crisis centre or refuge should "reframe their trauma".
A violent man with face tattoos and whose ex wife and mother have disowned him and said he is "at it" as well as our previous first minister (who also said he was "at it") was transferred to the female jail in Scotland after his conviction for two brutal rapes. The Scottish prison service were acting on the advice of the government. A very prominent photo of this rapist was taken during his trial, displaying his rapist manhood in bright pink leggings and a blonde wig. This caused an outcry from the public and the prison service eventually backtracked. There were other violent male prisoners such as "Tiffany Scott" and Katie Dolowski (who is a 6ft 5 beast who attacked 10 year olds in ladies toilets) also in female prison in Scotland. The pink leggings rapist exposed the EXACT problem with men in women's prisons. So in a way I'm glad the photo was taken but it should never have happened in the first place. Even to this day Nicola sturgeon refuses to call this person a man. She's doubled down despite the risks being clearly demonstrated to all.
Then we had the paedophile "Amy" George, a butcher from the Borders who kidnapped and sexually abused a young 11 year old girl for 27 hours and who the police described as being lucky to escape. She escaped herself, but he's been sent down (thankfully to a male prison) as it was very clear how predatory he was. She only got into his car as he was dressed as a woman and therefore he deliberately breached that trust. His trans "allies" basically disowned him and said he wasn't true trans (convenient as he had been "living as a women" for a while, whatever that means). He then released a statement apologising to the trans community but not to his 11 year old victim and family for what he did. Go figure.
I could go on. I'm sure people defending them will tell me all of these men are not "true trans" etc etc but considering the messaging from Stonewall and governments is that you are trans if you say you are; the Scottish government for example were determined to push through self ID, then there really is no way to tell. Some will have genuine dysphoria distress and will hopefully receive support and help but they still should not use single sex spaces for women (if they are men).