i’ve experienced engine failures both as the pilot and as a passenger and know it’s not exactly a fun experience. Although loud and uncomfortable, a compressor stall or isolated engine failure is an extremely manageable situation. Something we are proficiency tested for thousands of times during our career.
A compressor stall during climb out with a 10,000 foot runway less than 20 miles from the departure airport, which just happens to be a hub, is about as best case scenario as you can get. I wish my annual simulator profiles were as straightforward as this!
Glad you are safe, enjoy the flight to iah. You’re in good hands here.