Just know that they can recommend a hysterectomy, but you don't have to do it. Ask for more time while looking confident and calm. Don't tell them "No." Ask for "Not yet." Let them tell you the dark things that can happen if you don't do surgery at once. Then repeat, "More time, please." Hopefully they'll shrug as if to say, "You're crazy, but I've done the best I can for you today."
You don't want to challenge them so they get their backs up. You're soberly thinking about all they say -- which is the solid truth. Simply, more time please.
Wait -- my ignorance is showing here. Why would they do a hysterectomy for an ovarian cyst?