Taking it out will be a mess. You might put a hole in it and the fabric will be weaker, take it from one who knows, behind the top stitches are many smaller ones to fill in. I looked at it closely and it does look like a very small stipple will help and honestly you might not see the wrinkles after that. They either needed many layers of stabilizer or heavier stabilizer. It looks like they used no stabilizer although you said there was one in back. That is a terrible job for a company to do for money. I'd ask for my money back and then go stipple it.