The domain is free but the trademark is taken. Does that matter?

Yes. Of the two, the trademark is the one that decides who keeps the name.

What a free domain proves

Only that nobody has registered that exact address at that exact ending. Domains are first come, first served, and registries do not check trademarks when they sell one. A free .com tells you nothing about whether you may use the name.

What a live trademark means

Someone has registered the name, or something close to it, for a class of goods or services, and the registration is in force. If your use is likely to be confused with theirs — similar name, related business — they can object. That can mean a demand letter, a forced rename, and in domain disputes the address itself can be transferred to the mark holder. Registering the domain first does not help.

When it may not matter

Trademarks are tied to what they cover. A mark for a brand of paint does not stop you naming a podcast the same word, usually. The questions are whether the goods are related and whether a customer could mix the two up. A live match in a completely different field is often fine. A live match in your own field is a stop sign.

What to do

Look at the match itself: what it covers, who holds it, whether it is a word mark or a logo. Then decide with a trademark attorney, not with a registrar. NamingBay shows the domain columns and the live US trademarks that contain the name side by side, so you see the conflict before you buy anything. It is a register lookup, not legal advice.

NamingBay is free and needs no signup. Registry and register lookups, not legal advice.