Anael....for your first attempt with this new method, your applique looks great!! Pointy pointy!! Points and curves takes practice. For inside curves, you need to clip around the curve but not all the way to the stabilizer edge. Just enough to give the fabric some give and smoothed edge through the curve. This is no different than what is done with hand applique. For points, I fold the edges on top of each other and then clip the little dog ear off. Some times, if the piece allows, I tuck the dog ear in but that will leave some build so I just clip it off from the back. The point is still turned edge all sides so you are good.
Here are are some pics of the back of my pieces. The first one is a leaf and shows the folded edge after dog ear cut off. The second shows you an inside curve (concave) where I just snipped the inner point of the Y. As you can see, For small pieces, I cut to about an 1/8" seem allowance to reduce bulk along the edge that gathered fabric can cause. When doing circles, grab the fabric a little at a time to avoid points. Then when circle complete, go around again and smooth out the gathers along the back. The beveled edge works best with curves.
Cathy, one of the tools has a beveled edge. This helps with smoothing out edge. The opposite end that is basically like knitting needles is used for points to manipulate the fabric..and any more tiny detail tuck work. The youtubes shows details. The one with a fork look, is used to hold your piece is place as you turn the edge with the beveled tool. Anything, including fingers, can be used for this but it works best with small pieces and you avoid the glued fingertips.
Hope this helps!