Considering how dangerous their job is and that being distracted can quite literally get people killed a special forces operator who has just suffered the loss of a loved one, especially their wife, would not be allowed to deploy on a mission just a few days later. Military SOP would be for the operator to take some time off to deal with the loss and get things in order.
Right before the wife leaves, she states she is going to go get some HEB meat and/or products. Later in the show, the widowed husband discovers a package delivered with a Virginia address. HEB is a grocery chain only located in Texas.