It’s just a marking incident. When we first turned Bunny loose in the house, she was maybe 1 1/2 years old and she was just naturally litter box trained. She took up residence in our bedroom, and for the rest of her life, the bedroom was to be her territory. She initially would jump up on our bed and pee near our pillows. It was a nuisance since the bed cover was sort of thick and laundering it was a big job for the washing machine. We started covering up the bed with a plastic sheet during the day, particularly putting the plastic sheet at the top of the bed over the pillows. All of this time she was a fertile bunny. We did this for about 6 weeks. This was enough to stop her from the habit. It was years after this behavior that we had her neutered at the age of 5 years.
Keep in mind, that bunny pee is completely bacteria free and is a sterile fluid. This is true for pee for most animals, including humans. The only thing “dirty” about pee is that it that it does have nutrition for bacteria and will eventually rot and make a bad smell. Yes, our litter box trained bunnies will occasionally drop a bunny poop pellet on the floor. If you’re adventurous, pick up a pile of bunny poops in the palm of you hand and have a smell. Bunny poops have a herb like smell with an onion or slightly sulphurous overtone. There is no fecal smell to bunny poops. Also, keep in mind that the principal gut bacteria for rabbits is a bacteria that transforms cellulose to glucose. This bacteria is completely harmless to human beings. However, rabbits will once or twice a day clear out their cecum stomach…they have two stomachs. The cecum is at the juncture of the small and large intestines. It’s their largest stomach. In humans this stomach is vestigal and not used…it’s called the appendix. For rabbits to purge the cecum to clear out undigestible parts, the cecum has to be voided out the large intestine and rectum. When the cecum pellet comes out their rectum, they immediately eat it for re-ingestion. You can own a rabbit for many years and not know they are doing this. It they get too fat or have an arthritic spine, they can not bend over to eat the cecum pellet. It’s soft and mushy and can get stuck the the hair around their rectum and they will drop it on the floor. The cecum pellet (ceotrops..spelling?) has a bad smell..it’s full of liver bile and liver enzymes and smells a little like vomit. With our previous rabbit , she was not eating her cecum pellets due to spinal arthritis, we put her on Metacam analgesic to reduce her spinal pain and she started re-ingesting her cecum pellets again.