It appears that you only offer services at the client's house (drop in visits and walks), so there are a couple approaches you could take, regardless of the client's gender or marital status. If your husband may assist in providing care, you could tell the prospective client and let them know that you'd like him to attend the meet and greet, so he can meet the dogs, they could meet him, and both of you would learn about the dogs'/client's needs.
Another way is to have him accompany you on the way there but stay out of the meet & greet, maybe in the nearby parking area, and pre-designate check in times (By the way, many sitters who don't have a second person to go with them will check in with someone elsewhere by phone). And most meet & greets you want to meet outside the home initially, such as on a sidewalk etc.
Of course, the other way to handle it is simply to meet in a public place.