Just an FYI... another person I know had an infected finger - he waited days in pain before his gf forced him to a Dr. They drained the finger and gave him a course of antibiotics. This was last Friday.
His gf calls me Wednesday am, and they are at the hospital. His finger did not improve, and he was in surgery - they may have had to remove the end of his finger!!!!
Please don't wait around for an appointment if the pain is bad and antibiotics have not made any difference.