At the beginning of the movie, Stephen Strange is an asshole and cocky, but I can’t necessarily categorize him as a risk-taker.
I should note that a car crash is in line with his actual comic book origin, although though I think his hands being injured could’ve been accomplished another way.
He’s unwilling to operate on patients he think will blemish his perfect record, which makes the fact he gets injured reviewing an x-ray while speeding down the highway in a sports car so weird.
Why not have him spill coffee, or just slip on the slick road?