Keep in mind when you make an alstromeria boutonniere that the florist tape is started high, right around the bulb of the flower. Pull the tape gently at first, the pull a little tighter so the tape stretches and adheres to itself.
Pulling too tight could break the petals off of the main stem or crush them. Continue winding the tape down the stem to the ends of the cut wire.
All petals should be intact and not creased in any way.
The stem should be smooth and wound tightly around the wire stem with no excessive bumps or loose edges.
Now you can actually bend the flower safely and place the bloom exactly where you want it in the boutonniere design.