Thanks for letting me know about the monster; I also google drawings.
Good luck with it all!

I admire your satin stitching. It is so smooth and even around all those curves.

I do satin stitch applique. It looks like the stitch is too dense. The stitch may also be too wide.
Kat

I use satin stitch alot on quilts and use just plain newsprint paper as my stabilizer. I know it's hard on the needle but it works for me. Rarely does it pucker, but I do go slowly. Also I try to keep the stitch 99% on the piece being appliquéd and just the little "zag" stitch goes out onto the block fabric itself. It looks really cute, and once you have pressed it face down onto a padded board, those puckers won't be noticeable.

if you're going to quilt it then no need to worry, if not then try a heavier stabilizer. I have an embroidery machine and that happens to me it's hard not to get puckers when doing a dense embroidery

It looks to me that you are sewing too many stitches into a fabric that can't take it without a double layer of stabilizer under it. Even then it could be a little tricky. If you intend quilting it it should be salvageable.

My advise is to use a batting behind your block if your going to satin stitch. If just using a tear away, I would use a reverse button hole stitch or free motion straight stitch. I always us a seam sealer like Fray Chek or Fray Block if using the later 2 ways.

I think you would do better using a heavy wash away stabilizer. When you do dense stitching as you have done, tear away stabilizer literally tears away as you stitch. As Scissor Queen said, though, once it's pressed and sandwiched and quilted, the puckers should be all gone.

Yes, batting is a good way to go. I did a block of the month called Stitcher's Garden. We used many of our fancy stitches and different feet. You still layer it with batting the regular way. Turned out great.

It's going to be a wonderful quilt, and the most perfect block will be the one your granddaughter drew!