It’s great that you’re trying to do what’s best for your bun!
I’m just going to give some plain advice, not trying to be rude at all. You have a rabbit that doesn’t get enough attention/interaction and is stuck outside partly exposed to the elements. Putting a second rabbit in the same situation because your first one is lonely and cold, isn’t a solution. All that means is that now you have two rabbits in unfavorable conditions, instead of just one. What I think you need to do instead is using your money and resources to improve the life of the rabbit you already have. As others have said, that includes housing her inside permanently, where she can be safe and you can give her the attention she needs. You being homeschooled is perfect, that means you can spend lots of time with her.
If the cats are a problem, just make the room Willow will stay in a cat free zone.
As far as the spaying issue goes, of course it’s possible that Clover had an underlaying issue which caused her to pass during surgery, but without a necropsy there’s no way to tell. I think it’s much more likely that the vet who did the surgery wasn’t as rabbit savvy as they claimed. Of course they’re going to suggest an underlaying issue as the cause, rather than admitting that they don’t have much rabbit experience and killed her with the anesthetic. The chances of that are much higher than both of your buns having a hereditary problem that would make surgery unsafe. I would suggest that you find a new, rabbit savvy vet. Tell them about what happened with Clover, and have them do all the tests they deem necessary to rule out any health issues. Then, given the approval of the vet, I would go ahead with the spay. Unspayed females have an above 85% chance of developing reproductive cancer by the age of 3-4. Compared to that, the odds of a rabbit having major hereditary issues are much smaller.
A spay is invasive surgery and thus there’s risk involved. Just do plenty of research and go from there. I’m very sorry you lost Clover, and I understand that it makes it that much scarier to possibly have Willow spayed. Just don’t let that keep you from considering all the options.