something other than a satin stitch may be a better choice---if you like satin stitched appliques then a stablizer is a must- but a small zigzag or blanket stitch may be a nicer choice (easier too)
take some scraps and try out a few different stitches to see what you like/works better- any heavy-tight stitch will need stablizer though.
personally i really dislike satin stitched appliques even when they come out right- just not a fan of such a heavy edge- i usually do a stitch that doesn't really show-like a tiny zigzag or a blanket stitch.