Maybe. If your wife purchased TireCARE, your Ford extended warranty will cover tires.
If you are unsure whether an extended warranty includes TireCARE, you can find out by contacting your local Ford dealership.
Ford TireCARE covers all costs associated with repairing or replacing your tires due to a road hazard such as potholes or debris. It will help cover the cost of towing your vehicle to the nearest Ford or Lincoln dealership and provide you with a 100% reimbursement for the cost of a new tire, mounting it, disposing of the old tire, and all associated taxes and labor fees.