I can't see the tucks. My guess is they'll disappear in the first wash. The other thing I find sometimes helps prevent little tucks near the edge of the quilt is to baste the edge of the quilt within 1/4" from the edge. I remove my basting stitches once the whole thing is quilted, but I know some people leave them in since they're hidden by the binding.
I do the basting by hand & it takes very little time, but really makes a big difference in not having any tucks or pleats in the quilt back near the edge. I can't tell from the photo if you did that -- apologies if you have basting stitches in there.