I didn't see where the acceptable mare list is and don't have time to look all over but if it is there my guess is that they will breed only REGISTERED mares that are approved in the registries the stallion has been approved of....so is she?
Both your mare and that stud are a little straighter through the shoulder and hips. What are you planning to do with your baby? A little straight for a show jumper can be useful if they're athletic but a straight dressage/eventer will have problems. And a straighter made horse doesn't usually have the panache to do well in the hunters either, they tend to not be as snappy with the knees and flatter over the jump. So first figure out what you want to do with the baby. If you're breeding it as a sale prospect I would say don't do it. Your mare is decent but she's not outstanding conformationally and she has no viable show record so your chances of even breaking even on a baby are slim to none. Not trying to dash your hopes just trying to be realistic here.