An oophorectomy is a relatively simple procedure. All surgery is risky, of course, but the majority of women seem to recover quickly and have few, if any, physical side effects.
Hysterectomy is a bit different. I had my ovaries and tubes removed in December just before I started chemo. I too asked about getting rid of the lot and was quite quickly talked out of it. For now. Apart from the issue of needing to recover before chemo, a hysterectomy can have some flow on effects that I really don't need to deal with at the moment. Yes, thickened endometrium is an issue, but I'm still below the level that is high risk. That will need to be monitored.
If you are determined to go down that track, have a talk to a couple of different specialists. Marg.