Edit: If this is for Mrs. Redbeard, my wife is 5'2', hundred lbs or so. She likes to shoot the .410 as well. She has not issues with the 20 gauge 870 either, depending on the load.
I started my son with a single shot .410 when he asked to learn to shoot shotguns.
I then bought a used 870 Express Junior 20 gauge from a friend of mine, two barrels, for $150. We still have it and it is one of his favorite guns. He hunts deer and birds with it.
Compact Shotgun - Model 870 Express Compact Jr - Remington Shotguns
I prefer to hunt Dove with a .410. I bought a Stoeger over and under .410 years ago: It won't impress your friends but I love to hunt with the the damn thing.
Stoeger Condor Over & Under Shotguns: 12-Gauge, 20-Gauge, and .410 Gauge with 3” Chamber; 16-Gauge with 2-3/4” Chamber