How long until i recover from an ankle injury?

I sprained my ankle while jogging in school on may 19th , it was pretty bad , very swollen and extremely bruised up and obviously was in a lot of pain . Was on crutchers for about 3 weeks and couldn't go to school as a result of this . The next day i went down to the ER to get an xray to make sure there was no fracture and yea there was no fracture. The following week i went i went to get a follow up on my ankle and my ankle barely made progress so i was told to get another x ray because sometimes fractures don't appear right away , again i had no fracture . I called the physiotherapist to make an appointment but she told me that i had to go with the school insurance since the accident happened during school property , i told the school nurse and she told me that they're not responsible for it since it wasn't that "bad" and they didn;t take me to the hospital" so now i keep gettin kicked back and forth . So cant go to a physiotherapist and i just started walking about 3 weeks ago . How ever my ankle is still pretty bang up , a bit swollen and it still hurts a lot even wen im walkin or simply not movin it .. i went to get another follow up on my ankle on monday and the doctor said to give it a week , but honestly don't think its enough since it still hurts and its a bit swollen , does any1 know what i could do to speed up recovery because my ankle would hurt even if im not walkin and just resting . Thanks