I had cysts dermoid cysts when I was younger and if your cyst keeps growing and causing issues then they will have to do something but they can't till your at least in your second trimester ....I would juat make sure they keep an eye on it it can burst if its one that possibly can if not then it can keep growing and cause pain ...if it can wait till after babys born I would to do surgery ...good luck
I had 2 complex cysts on my ovary, as well. They monitored it & said if it caused issues with the baby's growth, I'd have to see a specialist, or it'd rupture & I'd know because it's painful. The good news is that for some reason it slowly decreased & was no longer a concern. If surgery is the only option they're giving you, I'd get a 2nd opinion.
I had an 8 cm cyst that did not need surgery. Usually if hey are not causing issues it twisted than they r not an issue . Mine ended up rupturing it was so painful.get a second opinion