Am I an addict?

Before this year I had never so much as seen pot, and I am 24 years old. I don't even smoke ciggerates or drink alcohol. Then this year after being diagnoised with Fibromyalgia, I received a prescription for Percocet pain killers. This was in August and ever since that first dose I have had a constant intake of either percocet or lortab everyday. I ran out last week, and have gone through HELL. Shakes, uncontralable vommiting, other bathroom troubles, paronia, rage... its been awful. How did I become an addict to something in just 4 1/2 short months? My doctor was rude and told me to attend NA meetings or face being a druggie the rest of my life. How rude! I didn't do this on purpose, I didn't even realize I was addicted. I have kids, I work full time, I'm a single mom, I just needed a little something to get by. Now I am suffering, and its so hard knowing that one little pill will make this all go away.............