Please don't take this personally, but we've been struggling with my wife's XDs and I've discovered two things
Magazine follower has a tendency to hang up, leading to failure to feed. I've done some polishing and added a drop of oil to help smooth that out a bit.
Second thing, she wasn't gripping it tight enough. When I got her to lean into it a bit more, it stopped the stove piping.
It's also not liking A1 reloaded ammo, but it appears to like Gold Dot. I have not run my own reloads through it yet.
These smaller guns get pretty picky about how clean they are, how one holds them, and the particular gun food you pick.