Answered on Dec 03rd, 2018 at 7:11 AM
The answer to "can I be sued?" is always yes. Anybody can sue anybody for anything. Whether you would prevail depends on the likielihood of your name causing customer confusion, i.e. leading customers to think that they are dealing with the other store with the similar name, in effect trading on its goodwill. This in turn depends on a lot of factors, including how distinctive the name (i.e. is it something like "Smith" or "bargain", or is it something like "adurabi's" or "fragilistic") and how much has the name become associated in consumer's minds with the type of business being conducted. The fact that you sell to somewhat different markets improves your case, but not as much as if one business was a restaurant and the other an auto parts store.