I really hope things work out for you. I agree with what Algae and Shamus have said too. Giving her a name can help with the connection. Take some snapshots of her just sitting on the couch. And it might sound weird but talk out loud to her. Tell her how you feel, explore what it is that is making you feel freaked out.
As you say, if things don't work out, at least you've had the experience
