Hi there, long stories short, I had a very bad shoulder dystocia with DS1 (he almost didnt make it). Alarms, panic, room full of doctors, prepping for c section etc. Terrifying.
DS2 3y later we insisted on having the resuscitator in the room etc but he shot out in a quick, easy, very painful way (was back to back) - but no signs of shoulder dystocia.
DS3 another 3y later, slightly lulled into a false sense of security, all going well until right near the end again when he also got stuck in the same place and I had another shoulder dystocia. Luckily this time I had a male midwife with massive hands who hit the emergency buttons but didn't panic. He managed to unwedge him manually much quicker than the first time and all was well, apart from stitches for me.
Looking at them now (16, 13, 10) you can totally see how and why it happened like this. I am 5ft from a stocky family. DH is 6ft and all his family are tall and slim. DS1 and DS3 have the same build as my side and each other - short, stocky, wide shouldered, round heads - rugby player builds and were always in top percentiles for head circumference. DS2 on the other hand is tall, skinny, very lanky with narrow shoulders and a longer narrower head, average on head circumference.
Luck of the draw I think. But my first birth and sd was terrible and nearly fatal (DS1 had an apgar score of 1, was navy blue and it took over 10 mins to get him out and 8 mins to get him breathing) and i still went on to have 2 more vaginal births, for some reason. So if yours was straightforward and easily resolved I wouldn't have thought there would be any reason not to have another vaginal birth if that's what you want. It will be all over you notes and they will probably have the senior mw and doctors on standby, and no waterbirth, midwife unit etc, but certainly for my number 2 they didn't try and pressurise me for a c section, even after a really bad previous shoulder dystocia.