The answer to 2 is almost certainly yes (binary) trans people in the UK are legally allowed to use a toilet that matches their gender identity, as far as I can tell. The first hit on google for ‘are trans women allowed to use women’s toilets in the UK’ is an official Metropolitan (i.e. London) Police doc which states:
‘If someone (whether binary or non-binary) presents as, say, female then they use the female toilet and vice versa. There is no law or policy prohibiting anyone from using whichever toilet matches their gender identity, and a trans* individual cannot be ordered to use a toilet that they feel uncomfortable using.’
The answer to 2 is almost certainly yes (binary) trans people in the UK are legally allowed to use a toilet that matches their gender identity, as far as I can tell. The first hit on google for ‘are trans women allowed to use women’s toilets in the UK’ is an official Metropolitan (i.e. London) Police doc which states:
‘If someone (whether binary or non-binary) presents as, say, female then they use the female toilet and vice versa. There is no law or policy prohibiting anyone from using whichever toilet matches their gender identity, and a trans* individual cannot be ordered to use a toilet that they feel uncomfortable using.’
(https://www.google.com/search?q=are+trans+women+allowed+to+use+women%27s+toilets+in+the+UK&sca_esv=99636c5107a06ae2&sxsrf=ACQVn08bCytPEZQpC4ye-pZZjBb2k89MNQ%3A1713262582583&source=hp&ei=9k8eZqyOIcm_hbIPlOa6oAk&iflsig=ANes7DEAAAAAZh5eBv27X0GJe-Bk-eYLDXPftd9SGGjo&ved=0ahUKEwis4Y69wMaFAxXJX0EAHRSzDpQQ4dUDCBc&uact=5&oq=are+trans+women+allowed+to+use+women%27s+toilets+in+the+UK&gs_lp=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&sclient=gws-wiz)