I tend to avoid infer because people often misunderstand it. But I'm grateful to have my understanding confirmed.
The infer/imply confusion is so common that one day the distinction may be lost completely IMO.
As for the poll, either usage can be correct, depending on the context of the sentence.
If the girl is currently being interviewed by multiple people, she may get the feeling (infer) that she is being hounded.
If she is reporting what is happening, she may imply that she is (or was being) hounded by the press.
Good point, Jahildebrandt, and it just goes to show how difficult it can be to make questions to illustrate things without a context. I hadn't thought about a press conference.