Anna goes on as many dates as possible over the next two weeks. It helps to distract her, and theoretically, the more people she meets, the more likely she'll actually meet someone. It gives her something to fill up her nights, and, at least momentarily, it means she can't wallow.
However, she knows that they really are just a distraction. She's not ready to move on, as much as she might want to. It doesn't work that way. She still... wants Elsa...
If Elsa notices, she doesn't say anything.
Anna almost wishes that she would.