Hi, totet, and welcome to Psych Central! Even though my parents weren't divorced, I can understand what it's like to feel replaced. That said, your mom deserves to have a man in her life, if she desires. He can't really "replace" a daughter, since you'll always be one to her. I encourage you to also see things from her point of view. He helps her out and is company to her. Most women enjoy that kind of attention.
Technically, you are no longer an official "child," but you are an adult. It is nice for your mom to be with you during your schooling, but she doesn't have to do it.
I encourage you to try to accept this man in your mother's life. I know that can be hard, but life will be better for you if you do. Be glad she has someone who cares about her. The main thing is he is good to her, is it not?
Also, tell your mother you would like some time with her. Maybe suggest you two go somewhere together, cook together, etc. Do something nice for her.
Also, see about finding some friends you can enjoy time with--at least during breaks from school. Begin looking for someone special in your life to marry when your schooling is done and look forward to that.
Meanwhile, let your mom have her life and start having one of your own.. Please don't allow anger/bitterness to ruin your life and interfere with your studies.
Congratulations on your career desires. You sound like a smart woman with a lot to contribute to the world. Okay?