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If you filed for and were granted paternity leave, I hope you realize your "MD" was breaking the law by asking you to continue working during that time (FMLA), and if I were in your shoes I would have stated to him clearly that his request is against your rights; he/she can ask, but it's his job to make sure things are covered. If you say no because you want to see to the needs of your newborn, he/she has to accept that.

You agreeing to do so is fine but should be at your own discretion, not because you're told to.