Is/ Was my ankle infected?

I recently got a cut on the back of my ankle from wearing fancy shoes. To exacerbate the situation I bought new work shoes shortly after. The cut was still fresh, and my new shoes were a little tight and not worked in yet, a bad combo I know. So the skin on the back of my ankle became very raw, my ankle was very swollen and stiff, and the cut was red and dense (if that makes any sense). My mom gave me this antibiotic cream which has seemed to work incredibly well. My skin is no longer raw, the swelling has gone down a bit and I can now rotate and bend my ankle, and the cut seems a bit better. I was just curious as to what is going on, if anyone knows? Also, should I see a doctor, or is the healing a good sign and I should just keep doing what I am doing?