Pick another name?
You can't be thinking that because you thought of a name, the other company must change.
The above is general legal and business analysis. It is not "legal advice" but analysis, and different lawyers may analyse this matter differently, especially if there are additional facts not reflected in the question. I am not your attorney until retained by a written retainer agreement signed by both of us. I am only licensed in California. See also avvo.com terms and conditions item 9, incorporated as if it was reprinted here.
Personal Injury Lawyer
There are almost 457,000 combinations of four letters. Surely you can find another one four letter name. (26*26*26*26)
We are serious lawyers for the seriously injured. I am a co-author of WEITZ ON AUTOMOBILE LITIGATION: THE NO FAULT HANDBOOK. The opinions expressed in this answer are not legal advice. These opinions are thoughts based on New York practice. We have no attorney-client relationship. Conducting a conversation with me through the avvo comments section does not create an attorney-client relationship. Past results are not necessarily indicative of future performance.