Her district is composed of middle class retired people and small businessmen, rather largely Jewish, and relatively prosperous, mostly from families from NY, NJ and New England. You said "she will be gone soon!" Are you referring to some event other than her not being elected? Perhaps an assassination?
I have not heard that Obama was displeased with her. She is intensely pro-Israel, by the way, so she probably disagrees with him on Israeli issues.
Again, she will be reelected. I do not agree with all her stands on everything, in particular israel, but her actions in Congress do reflect the interests of her constituents. She is a good speaker, and she was clearly not "owned" in the snippet you posted.