I would also say definitely seek a second opinion.
I learnt the lesson that you sometimes get offered whatever is the specialism of your particular surgeon - they should refer you onto someone with different skills but they dont always if you are happy with what they offer - they probably genuinely believe what they are offering is the best - but the best is what feels right for you. Not for them. Try and see an endo specialist surgeon rather than a general gynae, unless endo really is there specialism.
Hysterectomy in itself only helps provide relief from adenomyosis (sure I have spelt that wrong) which is where endo is in the muscles of the uterus. Still leaves it elsewhere if you have it in other areas too.
I was told by my first consultant that I was a "mess" and hysterectomy was my best option . . . . (bladder, uterus, ovaries, diaphragm, on bowel, recto/vaginal, sacral ligaments). I researched and found that I could have radical excision surgery.
Radical excision is where the whole lining of your pelvic cavity is excised (appropriate for stage 4 endo) It removes all seen and unseen endo and heals more cleanly with less chance of adhesions forming than with patch treatment. All done keyhole. Overall I have been more than thrilled with the outcome, avoided hysterectomy and oophrectomy, and have been endo pain free since surgery (16 months now).
The big downside is that very few surgeons are specialised enough to carry out this lengthy surgery. But it is available and can be an alternative to hysterectomy and oophrectomy if that does not suit your desired outcome.
Take your time to decide too what feels right and are ready to go forward.
All best wishes