I've flown around jets lots, having learnt at edinburgh. One things that I always made sure was to avoid where the a/c had been. airliners generally have quite a shallow approach so I would always fly higher and then come down steeply, if it is a very tight then I will aim to land past the airliners touchdown point (the point the vortexs stop) and roll to the next exit.
Luckily I've never had an encounter like you had. I'm glad it was all sorted. I bet you'll be more careful next time
Imo its the best way to learn those kind of lessons, not that you did anything wrong.