I was in an accident with the other driver at fault. Whos insurance covers my medical expense, mine or the at fault driver?

Yes, you are responsible for your own medical bills. If you have medical payment coverage on your auto insurance policy, it will cover your accident related bills, but check to see what your medical pay limits are. Once that coverage is exhausted, you will want to instruct your medical providers to forward any other bills to your health insurance carrier for payment. You may also be responsible for any applicable co-pays, deductibles, or co-insurance. To protect your credit and keep unpaid medical bills from going to collection, you will need to keep in touch with your providers and make small monthly payments on the outstanding balances, if necessary.  

If you decide to sue the other driver and receive a third party settlement, you are obligated by the provisions of your auto policy to reimburse them according to their “subrogation” rights. This means that if you receive damages from the liability carrier, your own company is entitled to be paid back for the medical bills it paid on your behalf.  For more information, consult a reputable auto accident claims attorney in your area.