My landlord just sold the house I'm renting from her. She included all fixtures that I bought and installed. Does she have this right?

No. she can try, but she’d be in the wrong. The key thing is to provide evidence. You should take photographs of the property before you move in. This is also useful if your landlord decides to charge you for any damage. You’d need to keep all receipts for the items that you’ve purchased. You’d need to arrange for somewhere to store them if you can’t move out in time. If you’re replacing things that are already there, you need an agreement with the landlord beforehand on what is happening with the old items. This information may already be in your rent agreement. Many new items can be registered with the serial numbers on government-backed websites to prove that they’re yours. If you can’t get the goods back off the landlord, you can demand that they supply you with replacement ones or demand compensation. Likewise, they can do the same if the property isn’t returned to its previous state.