Thank you!!! This is so helpful, seriously(Original post by artful_lounger)
While I can't comment on Oxford, I can say Cambridge as a city is moderately diverse - this does seem to extend to the university to some extent. It certainly appears more diverse than I found Exeter to be (both university and city).
This may vary a bit between college but undoubtedly at any college (Pembroke included, despite not infrequently getting headlines locally and, last year, nationally, for all the wrong reasons relating to these issues) there will be communities you can associate with and relate to. Some are more obviously open to such communities - Emmanuel's chapel was apparently the first to hold a gay marriage in the country, and they regularly fly the pride flag, and Murray Edwards has changed it's policy on accepting trans women to do so without imposing any requirements on the women in question.
So change happens, sometimes faster and sometimes slower, but you should certainly consider the university without having to worry too much about it
...for the 2nd time this year