Running out of Medication: Should I Stop Taking Them?

So I ran out of pills on Tuesday. I called my pharmacy and asked for a fill but she said there's no refills. Yesterday morning I got a call from my doctor's office telling me I can't get a fill on my meds unless I keep up with my appointments with my psychiatrist. So I have an appointment today, literally in 50 minutes. I'm honestly tempted to just stop taking them as they're only 10mg and I'm already going on day 2 of no medication. I've been on this medication for almost a full year and I want to see how I'd feel without them for once. My main concern is withdrawal symptoms. Will I experience any withdrawal symptoms from stopping 10mg of fluoxetine??