Does a tooth abscess have you feeling like something is in your throat but your breathing is fine?

It can feel that way: The sensation of feeling something in your throat and no issues with breathing can be present with a tooth abscess, depending upon where the abscess is, i.e., upper jaw vs lower jaw as well as how much swelling is present. If you experience difficulty in swallowing or breathing, you need to be seen ASAP as either of those problems need immediate attention.

Oral Abscess: It might. Have it treated immediately to avoid further complications.

Don't wait...: If you know you have an abscess...then get it looked at, as other comments. An oral abscess can lead to so many other problems..including death, depending on the location and severity. I understand with the virus you might be reluctant to enter an office, but the dental profession has always gone a step above to insure patient safety. you'll be glad to did.