This is what we call backing” and helps to stiffen the area we’re sewing into.  We use different types of embroidery backing depending on the type of fabric.  Sometimes we can use tearaway backing, which means that we’ll remove the excess pieces when we’re done.  Other times, we’ll need to use multiple pieces so that the design will continue to lay flat.   This is especially true on the dry-fit fabrics that are very popular in the heat of North Texas.  The fabric should soften over time, and you’ll likely not notice it.  if you have a particular sensitivity, please let us know and we’ll see what we can do to accomodate you.