Excellent demonstration and narrative for newbies! That's a nice calm hen and I suspect the large space and free ranging makes it easier. Backyard chicken keepers with small runs might see more tension and conflict. I keep chickens on a half acre and let a broody hen raise new chicks every year so I keep them in a separate small yard until the babies are at least 3 weeks old. The old girls show curiosity thru the fence and become familiar with them and MamaHen does an excellent job of letting the old hens know who's boss and stay away from the babies. Within a week or two everybody is showing each other respect, except at the food bowl as you mentioned :)
This introduction went as perfect as possible. These were really a super nice flock of girls. New hen got along great from the start. Went straight into the coop pretty much with not a problem.