She is a expert maid, and a somewhat a doting parent.
I thought that Elena-san was certainly my parent, but listening to the conversation that seems wrong. Speech is like that towards a superior, rather an attendant than a maid. Because of that a doting parent might seem an odd expression, but the way she looks is completely like that of a parent. Thinking of my age, rather than doting servant a doting parent fits better.
"That’s right. It almost like he understands my words. Ah, at any rate he really is cute.