I don't think anyone flinches with a 22.

Lets start with just the basics. You should be breathing not holding your breath. IMO breath normally and try to begin to gently squeeze the trigger when you are almost done inhaling, and firing on the exhale. When I have a deer coming into range and will have to wait for the right shot opportunity I just get everything into position but don't start "hard-sighting" until the shooting lane or shot opportunity is very close to happening.

Trigger. Use the center of the front pad of your trigger finger. I see way too many fingers with the trigger in the 1st crease of the finger.

Flinching? Get yourself a dummy round. Have someone load your gun with a single round without you knowing whether it is the dummy round or a live round. This should help.

However, if you are scared or thecaliber you are shooting is painful to you, you might want to step down some. It is very difficult to achieve good marksmanship with a round you are scared of or hurts you.

I hope this helps you.