Actually Chuck Yeager got sick on the first 8 or so flights that he took, so no worries. It is very common for students to feel this way on the first several flights. It just gets better as you go. But if it's been months and not days between flights, no progress will be made. You will need to build up a tollerence. It will happen.
I just keep an eye on the student and make sure that I haven't pushed them too far. Even instructors can get a bit queezy when doing some more advanced stuff. So don't worry.
But there are a few out there whom this is not something easily overcome (as was previously written about) it is rare. Flying should be a building block style of learning and not a "watch this" or a "let's see how much you can handle" type of thing.
Try to fly in the early mornings for a bit when it is mellow. If you are an afternoon only flyer, it will be harder for you. In Az in our warmer months (as in oven temp) the afternoons are very challenging for a new student (not impossible, just not comfortable). Mix it up and fly often. Don't do the once every two week or even once weekly thing. You will spend a hell of alot more money and not make much progress...
Good luck to you. You will overcome whatever you need to.