Leaks!

The frame around my kitchen window is leaking. I am not sure what to do. Rusty says it is because the gutters have ice damned and the water is going under the shingles and it is leaking. I have NO idea I just want it to stop. I have no idea what to do or who to call. I left him in charge and he put a heater in the window and that seemed to work for a bit, but it is leaking again. Any ideas???