Well, firstly, a tv show is only ever an approximation to reality, and I've never seen a tv show I really thought did justice to portraying ministry. (Rev. came close in its early season but I thought less so towards the end).
I think the key thing about the money handling is that in Anglican churches, the money is not handled by the clergy. I don't count it, store it, bank it, or have access to the accounts, nor do I make decisions about how to spend it. We have a healthy separation of powers there. I've known church treasurers who were both men and women. So that gets a shrug from me. And things like donations for the poor I've seen handled by both men and women.
If there are any areas where I see significant gender division of lay roles, it's in children's ministry and flower arranging, both of which are female-dominated. And that used to be less true 13 years ago for children's ministry, but today good men are often simply afraid to be involved, because of the way it will be perceived.
Oh, one other thing that may or may not be a quirk of my diocese... women are over-represented as chaplains. I suspect because these roles are felt to be more family-friendly than parish ministry.