Here is the link to XML query expression to select it.
I didn't know how you were loading your initial data, so I just parsed it in to a document, but you should create your XDocument according to how you are getting your data.
var data = XDocument.Parse("<ScoreRule><ShippingMethod Code=\"UPS1DA\"><Destination Country=\"US\" Area=\"IL\" Value=\"0\" /></ShippingMethod></ScoreRule>");
var results = from item in data.Descendants("ShippingMethod")
select new
{
ShippingMethodCode = item.Attribute("Code").Value,
Country = item.Element("Destination").Attribute("Country").Value,
Area = item.Element("Destination").Attribute("Area").Value
};