Should I bother with Oxford (postgrad)

Hi!

I'm currently studying Linguistics and Comparative Literature at Queen Mary, University of London, which is RG. I'm on course for a 67, and got 63 and 65 in my first and second year respectively, which I know is below par for Oxford. However, in my first year, my health deteriorated and I was hospitalised about six times, and in my second year, I had a baby. I still managed to get high 2.1s and firsts in my relevant modules, and even handed in an assignment two days after my son was born (and only asked for an extension for one assignment, which I think shows dedication and an ability to handle a high workload)

I hope to apply for Mst in General Linguistics, but given that most will be applying with a higher degree classification than I, is it a wasted application?

Thank you