There was a thread on this about a year ago (another Christmas gift!), and I think the consensus was that they should be avoided… I remember someone was going to ask their vet but never posted the answer.
Many oils can build up in the rabbits body, the same way that the aromatic compounds from pine shavings can, and can cause problems if the rabbit ever has to go under anesthesia. I think Lavendar oil can affect the liver, if I remember correctly.
Here’s that old thread, which had a lot of replies: https://binkybunny.com/FORUM/tabid/54/aft/164918/Default.aspx
Hopefully some others will chime in here with any new info.
I think scented candles were less clear. My feeling is that if they are in a different part of the house it would be OK, but I wouldn’t do it in the same room.
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The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.