You also have to talk to the priest about marrage first. Just having the Amulet will not trigger marrage options.
This.
You have to do more quests for her. She makes you retrieve Three Artifacts.
Not this.
I had already decided on her from the get-go, so I had spoken to Malamar in Riften about marraige. As soon as Kodlak Whitemane was released and that quest line ended, I put the amulet on and asked her then and there in the dungeon. That started the quest to speak again to Malamar to set up the wedding.
However, I wanted Aela to follow me, so I asked her. She pointed out that I already had someone: Lydia. So I told "she who is sworn to carry my burdens" to take a hike. Then I addressed myself to Aela once more and she blew a gasket! Luckily there was a dialog option, "It was just a mistake. Can't we start over?" that patched things up. I didn't even try to ask her to follow me. Instead, she took it upon herself to do so.
Also, the issue of choosing a home wasn't available, even after marriage. I had to dismiss her to get it to come up. As for the Totem quests, they are permanently unavailable to me. She just wants me to exterminate beasts made of "sterner stuff."