Remember back in season two when Emily snapped, stabbed Aunt Lydia in the back a few times, and tossed her ass down a flight of stairs? Good times. Well, despite her efforts, Aunt Lydia has survived, and returns to June's life to check in on how she's settling in at Commander Lawrence's house. Not a lot of time has passed since her injury, so she moves slowly, painfully, and with a cane.
When questioned about how the "ceremony" has been going, since the Aunts track the Handmaids' ovulation cycles, both Commander Lawrence and his wife lie about it happening, telling Aunt Lydia that it was "aces." (Have I mentioned how much I love Bradley Whitford in this role? Because I really love him in this role.) Aunt Lydia just barely believes them, and is immediately suspicious about Mrs. Lawrence's odd behaviour. Later, once the Commander has escorted his wife upstairs, Aunt Lydia tells June to let her know if he ever tries anything "unseemly," and makes it clear that she blames Joseph Lawrence for Emily's violent outburst.
It's comments like those, when Aunt Lydia says things that make it almost seem like she genuinely cares for the Handmaids, or views them as her children (of sorts), that highlight what a brilliantly twisted, delusional character she is. This dichotomy is reinforced almost immediately following her remark about Emily, when June attempts to help her up the very stairs that Emily recently pushed her down. Instead of accepting the Handmaid's arm, the Aunt tases June, lashing out by screaming that she should be on the Wall for what she pulled at the McKenzies. Oh, Aunt Lydia. Nice to see you again as usual!