It has to earn that trust and that takes time. But there are a lot of personal use cases like yours that I can imagine.
For example, I suddenly need to reserve a dinner for 8 tomorrow night. That's a pain for me to do, but if I could give it some basic parameters, I'm good with an agent doing this. Let them make the maybe 10-15 calls or queries needed to find a restaurant that fits my constraints and get a reservation.
I see restaurant reservations as an example of an AI agent-appropriate task fairly often, but I feel like it's something that's neither difficult (two or three clicks on OpenTable and I see dozens of options I can book in one more click), nor especially compelling to outsource (if I'm booking something for a group, choosing the place is kind of personal and social—I'm taking everything I know about everybody in the group into account, and I'd likely spend more time downloading that nuance to the agent than I would just scrolling past a few places I know wouldn't work).
For example, I suddenly need to reserve a dinner for 8 tomorrow night. That's a pain for me to do, but if I could give it some basic parameters, I'm good with an agent doing this. Let them make the maybe 10-15 calls or queries needed to find a restaurant that fits my constraints and get a reservation.