Without seeing what you're up against, it sounds like the wire broke at the back side of the hardshell connector where it enters. Most weather pack connectors have a lock (yellow, red or another color other than the hardshell connector and usually flat/blade like in appearance) that is removed from the matting/front side. The lock holds a barbed "finger" against the metal terminal locking the terminal in place.
Once the lock is removed, use a sharpened paper clip or other small diameter pick to pull the finger away from the terminal and the terminal will pull out from the back side.
Special crimpers are used to crimp the wire to the terminal but you can just solder the wire to the broken terminal making sure the O.D. of the newly soldered joint isn't too much larger than the original crimp joint. Then re-install the terminal into the hardshell connector, tug to make sure it's locked against the finger, install the lock and plug it in.
If you take the broken hardshell connector to your local Ford dealer they may be able to match it to thier Wiring Pigtail Kit Identiication Guide.
If you post a pic I can look at the giude book I have and see if one is available and post a part number.