You definitely would not be wasting your GPs time. It's what they are there for, and under no circumstances would they think this was wasting their time.
Being sick this frequently is going to negatively impact your health in a big way, and no one can properly diagnose what is causing this other than GP that can complete thorough tests, look at your medical history, diet, etc.
Seeing your doctor is really not scary, you could even take a friend or family member if you were feeling a little unsure.
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