We own a rental property. 5 years ago when we last advertised for tenants, it went in a day (it's in a very handy location for a hospital, train station, bus routes, motorway access etc, and unusually for the area has off street parking and a garden).
But... It was next to a florist. Florist shut, and it's now a Funeral Directors.
Honestly .. would it put you off? It's just the shop bit, none of the 'working' bits of the funeral business (not sure how to phrase it exactly). The larger premises for that is around 100m away.