How can I set up a confidential email advice system?

At my university I’m a committee member of the LGBT society, and I had an idea of creating an email service whereby students can send a message confidentially to members of the committee to ask for advice with a personal problem.

We’re very approachable if someone wants some advice in person but I think some people might like to be anonymous or for it to just be more private, and email (or some equivalent system) seems like a good way to do that.

Should I set up an ‘agony aunt’ email address? How do I get past people not wanting their email addresses and therefore their names being visible?

Any ideas would be great! Thanks!