There's an Aimee's Wine House in Stoke Bishop, Bristol too.
I guess the name was chosen before the sad death of Amy Winehouse. The name does seem in poor taste now.
That's nothing compared to the organisation whose offices I passed in Gloucester last week. If they were starting again, I guess they wouldn't call it Isis.
I see no issue with Aimee continuing to operate under the name. Had they change to name to cash in on the sad demise of Ms W, they probably would have lost their custom by now.