ANSWER: The sunnah is to wash it 3 times. However, if you washed it only once with the water reaching the scalp for sure, this is sufficient. 

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ANSWER: This is absolutely prohibited.  You must immediately discontinue this and sincerely repent to Allah.  There’s no obedience to anyone at the cost of disobedience to Allah. However you must be diplomatic and respectful towards your parents in all situations but keep firm on your decision and not continue this class at all.

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