as long as your quilt top is well constructed- fairly square (even) and the threads are not a mess on the back - most of us will quilt it-
i've quilted many that had kind of wavy borders- lots of errors/flaws---no one is perfect- i've done a few that other quilters refused to do---and did pretty good with them. it really depends on the quilter- take yours to the quilter you want to use- and show it- i bet it's not anywhere near as bad as you think- quilting can actually fix some areas that are (not so great)
if the outside edges are stretchy- run a stay stitch (just a straight stitch) about 1/4" around the whole outside of the quilt- that will help it not stretch out of shape when loaded for the long-arm- and just check to make sure your seams are all intact---when loaded on the frame there is *pulling/stretching* when rolled up...the seams need to be secure- which the stay stitching also helps with.