My cigarette lighter was stuck for at least a year and a half and one day it just kinda popped out. The previous owner must have dropped it in water or something and left it sitting in the ash tray because the element was all rusty. I was in a pinch one day and needed a lighter so I tried to use it and it never came out.

Check your fuses.

If you have enough fingernail you can probably get behind it and pull hard enough it will come out, or at least mine does on the occasion it still gets stuck.