Not sure why some are being quite hostile and being rude to OP and about her daughter.
At that age (18?) I was still quite shy or not good in new public situations. And can imagine trying to find out for myself (ie keeping a low profile) if there was a singe sex women's toilet.
Does the University not provide a map of the University buildings with info about where various facilities are including toilets?
And if on visiting them all they are all unisex, I would have thought she had the option to complain but ... can also see this might not be how she wants to start her University experience.
Is it possible FWS could give her advice. ie is the law in Scotland different. I thought even prior to the supreme court ruling public buildings should provide a range of toilets, ie single sex, gender neutral, disabled, and maybe with changing facilities.
I supose, ie supect the students union will not be sympathetic otherwise they should be the ones to help her.
As a first year does she get the option of some sort of personal support and if so can she not raise it with them about how it is impacting on her.
And it is irrelevant if others aren't bothered this is about her right to feel comfortable with what are basic facilities.