I've got a communication issue with my colleague, let's call her Alice. Alice seems to feel superior to me just because she is about 20 years older than me. We were hired for the same position at the same time, the only difference between us might be some years of working experience in another company which she has (and wherefore I appreciate her knowledge in some fields). I just finished my Master's degree.
We are now four people in a shared office. Other than Alice and me, there are a woman two years older than me and a man some years older than her. Alice seems to only respect the man, I don't know if it's because of his gender, but I think it's because of his age. (As soon as she is alone with one of us she starts a conversation, sometimes about the others. She complains a bit about the other woman. The man has some health issues that causes him sometimes to stay ill at home which is negatively seen in our department. Alice defended him and praised his work since a few weeks after we started to work there, we had no chance yet to get to know him or his work well back then.)
Often Alice compares me to herself when she was an apprentice. She works part-time and asks me constantly about what I did when she was absent and tells me how to prioritize my work (I did not ask about it.). I am not good with social skills and get instinctively defensive which maybe gives her the impression of being right and/or helpful. Later I get angry and frustrated, which intoxicates my life. Sometimes she asks me out of nowhere what I'm doing and how I get along and even stands up from her desk to get behind me and look at my screen. This puzzles me and interrupts my work.
I have already asked a question about the topic on The Workplace SE which gave me the impression that it is okay to stand my ground while doing it politely. That's the point where IPS comes in.
Question: How could I get her to stop acting like she was my Supervisor politely? (I'd like to talk to her by myself and not involve the HR/our superior first.)