As AJ said there is not enough information for an informed opinion however no penis should be swollen. Go see a Dr and get their advice!
A swollen penis? That's not a usual symptom, but it is a definite sign that you need to see a doctor.
When you say "with" her, what did you do? Unprotected sex? Definitely go see your doctor.
You can get tested for gonorrhea, chlamydia and NGU at 3-5 days, but since your penis is swollen, go now, even if it's not been 3-5 days yet. Don't wait.
Let us kow what happens.
Are there any signs of gonorrhea in all of this?