I owned a Silver 2007 Honda Fit for four years. In that time, if I remember correctly, it was hit four times. Three times in the rear bumper and once in the rear passenger door. No dents that big! I had the bumper quoted at one point ~$500 to remove, patch, replace clips and repaint. Probably should've done it. That was before the door dent. Anyway, in poor life decisions mode, I sold the car with 57k on it for $11k to a friend of a friend. He happened to not care about the dents, but then it was a 4 year old Fit in 2011 - he still got a pretty good deal.
But that is a big dent in metal. I'd consider getting another quote or two and if they can do a reasonable job without too much cost, or you can muster the courage to fix it up yourself, it's probably worth it. You're thinking about it enough to post and get opinions on here. I don't think it's good to let those things stew in the back of your brain.
One more anecdote... further back in my history, I had a '94 Stealth. Paid $8500. Got hit in a parking lot (front left fender.) Looked bad at first, but was mostly just white paint on a red car. Wiped it down and it didn't look too bad. But I ending up selling that car for $3000... much less than I should've. That kind of car NEEDS to be in great shape to maintain value. A Honda just needs to be in great mechanical condition... and the frugal choice is to drive it to 200k+ as others have stated, so maybe it isn't a big concern. [/rambling]