The barn where I board my horse also does therapeutic riding for handicapped people, so given then nature of the program, my BO has to follow a very strict set of rules to remain as legal and safe as possible. One of our rules is no one, human or animal, is allowed in either of the arenas during a lesson without the rider's, or the rider's guardian's permission. If something were to happen to cause one of the horses to spook, and if the rider were to be injured, the consequences could be very serious. All of it is spelled out in our contracts, and in the liability release.
Does your barn have anything like that? Maybe stating that the BO will have dogs on the property and they might interfere with your riding? Because if not, I'd seriously consider talking to her about it. Not in a threatening way, but just was a heads up maybe? If it happened to someone else, they might not be as tolerant as you. It's something to consider for everyone involved, including your BO. Just to be safe.
"A rider who would trade partnership for obedience
will have to settle for neither."