Re: woman, they No.
1) You can't use a singular noun without a preceding determiner - eg No woman was allowed to...
Alternatively, you could use the plural : Women were not allowed to ...
2) It makes no sense to use the pronoun "their" with a singular noun which is clearly exclusively feminine. So : No woman was allowed to use her mind...
or Women were not allowed to use their minds...
3. their is used as a singular pronoun with neutral gender reference - ie when it could refer to either males or females - eg A person who has experienced having their house burgled is unlikely to forget it.
but yes - the following noun remains singular. Another example : No-one will be allowed to change their mind after the decision has been taken. |