I had had my 9yo Debbie 8 years when I decided to get another bun. She had been my center of attention since I was 14 but having married and got a job, and the inevitable being out all the time I decided to get her some company. I read some horror stories online about bonding rabbits and decided to take it very slowly so as not to stress her out
We put him in an indoor run (our buns are usually free range house rabbits) and let them sniff each other through the wire. After a couple of days of this we put them on the spare bed, where Debbie and the new rabbit (Alfie) had never been before and was neutral ground. She immediately showed dominant behaviour and mounted him, and he immediately bowed his head and submitted. They have been bonded ever since and we have had no issues since.
I think it does depend on the bun, spayed males and spayed females I think are the best mix, but if one of them is submissive this makes it much easier so you don't have fights over who is boss.
We have found that he does have the advantage with food as he can eat much faster, this is not usually too much of a problem as she just barges him out of the way. We do weigh her regularly and if her weight drops at all because of this we usually just shut Alfie in the kitchen for part of the meal so we can make sure she has her share.
I would say go for it, one thing that I did after each time they met for a bonding session was feed them treats, so that they had a positive association with each other.