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I would definitely not get any surgery relating to this, because it would be way harder to undo.
I am unsure about natural birth control methods, and efficacy is always a question. Sometimes the solutions we have are not perfect, but better than any alternatives. Your health can always be improved in general, or you can take actions to counter birth control side effects as well.
I know Sundara went on them and it actually helped her, which I think because the hormones (being yin-like) corrected her conditions. Of course, this is entirely subjective. It just goes to show that they should not be entirely discounted.
I would suspect that if you have yin-excess conditions, liver stagnation, dampness, etc that the birth control may give some trouble, but I am not sure. You can always go back off them and stick with condoms.
You should not worry too much about certain health matters that you are forced to endure, because as Zevists we can transcend physical health issues. Just make sure you are currently in good enough shape to "tank" anything.