If I file medical bills from accident on my health insurance can i still be reinbursed those amounts?

Was in a accident 1 month ago, driver ran red light and I t boned her. My car was totaled, went to emergency room and have been seeing my private doctor and going thru physical therapy at his office. ( had brusied chest from air bag and lots and lots of muscal spasams). Car was totaled ( only had it 6 months). To see my private doctor I either had to pay cash (which I didnt have because of all the x rays and cost of physical therapy) so i filed with my health insurance thru work. Will they reinburse them or me? Thanks for anyones advice.