volver
It doesn't matter.
She can't tell people that they can't aim for Oxbridge because they are working class.
I had very little in common with other students at the university I went to, which was by no means Oxbridge.
There's a rather funny (in the sense of 'if I didn't laugh I would cry') passage in Fiona Hill's book where she describes a conversation she had with a student from a privileged background when she was at St Andrews.
Basically it went along the lines of "We need all the advantages that our wealth brings us because otherwise the clever working-class students will take over and that would upset the social order"