If I make an appointment for someone to come to my home. Is the person that arrives considered "the public"?

This question is in regards to HOA Deed restrictions in my community. My wife works from home and we are getting letters from HOA stating we are not allowed to run a business from home which in my opinion we are not violating any of the restrictions. The restrictions state that you are allowed to use a portion of your home for business use so long as the primary purpose of the home is for family living such as a home office. It also states that the public is not allowed to enter the home to conduct business. My wife makes a few appointments a day for her clients to come to the house. My thoughts on this are that her clients are not considered the public since permission was granted to these specific individuals to come to the house. She grooms pets for a small group of clients. She does not advertise, no mention of a business on the internet at our address, and no signs in front of the house so all restrictions are met in my opinion yet she is faced now with a deadline to stop.