Mr. Snowman is cute!
What stabilizer did you use for the project? Stitch count? Typically, if the design is over 8,000 stitches add another layer of stabilizer.
I just used Pellon 541 Wash n Gone for a project done ITH. This was a first time and I liked the product. The stitch count was 10,000+ and called for hooping 2 layers of stabilizer. It was easy to trim down around the design. Then a wet Q-tip cleaned off the edges of stabilizer.
Did the project directions have you add a backing under the stabilizer? Then you trim it down to the stitch line. I use a decor bond product which gives some stability to the item. It looks like the snowman should have an added layer of decor bond on the back.
Decor bond can be fused the backing fabric first. Make it larger than the tack down stitch. Add it to the back and use a few pieces of tape to hold the corners secure. There will be a tack down stitch to hold it in place. Then take it off the machine arm and trim down around the stitching. You will have the backing fabric with the decor bond attached to the back of stabilizer. Do not take the project out of the hoop---only off the embroidery arm.
Then you add the batting or top fabric and stitch out design.
Here is another how to with information.
https://www.emblibrary.com/EL/ELProj...oductid=EV0080
I'm not sure that your project is considered FSL (free standing lace). It is more like a project ITH -in the hoop?
Helpful tips here for different projects.
https://www.emblibrary.com/EL/ELProjects/Videos.aspx
PS: You may be able to add a layer of decor bond to the back. Cut it out a bit smaller than the satin stitches. Just trace around your snowman and cut out smaller. Carefully iron to the back or use glue. Best wishes!