Re-stitching Gore-Tex

Hello. Are there particular risks in running Gore-Tex through a sewing machine? I have a 7-8 year old Kathmandu raincoat, made with Gore-Tex's pac-lite variant. It's been used to death (mostly around town since retiring it from being a tramping raincoat after the first 3-4 years), so it's lasted a while. A couple of years ago, the seam along the bottom came apart, leaving a big elastic band dangling out the back that would otherwise be used to tighten the coat around my waist. It's basically that the stitching's come out along the bottom so the fabric no longer folds around the cord, and I guess once a little bit came out the whole lot did. Anyway, Kathmandu called one of their Wellington stores, which suggested a repair place in town. It's somewhere that seems to specialise in bridal stuff, and I wouldn't have automatically picked them as a place with specialist knowledge of repairing outdoor fabrics, if that's actually important, but maybe they're good at that for all I know. The one they suggested isn't terribly convenient for me to get to, though. Is this the type of thing that I could just re-sew myself, or find a more local repair shop? Or is it likely to require some specialist attention with good knowledge around sewing Gore-Tex?