Is my frame bent from a front collision with the back end of a lincoln town car?

What is your question?

I was driving my 2003 Nissan Altima and the roads were wet due to rain. I came off an exit ramp and pressed on brakes to slow down because there was a red light. My car started to skid and it veered left and right. I gained control and pressed on the brake as hard as could and I felt the brakes lock up. I continued to go forwarded at a high rate of speed. (I'm guessing 25-35 mph) and saw the car in front of me stopped at the red light to turn left. I slammed into the back of her car (1998 Lincoln Town car) and both of my airbags deployed (passenger and driver). I'm pretty sure my car is totaled. The radiator is shot and the hood is severely bent, and the bumper is resting on the ground. BUT, is it possible I bent the frame of my car by rear ending another vehicle? Please advise. Car still turns on and drives. Thank you