The answer is a big NO. And if asked why, obviously just because lot many of us follow the logic of sacrificing coherence and clarity for accent. It is necessary that you should have a proper accent and you also need to make use of correct English. But, communicating the right content in the right way is of utmost importance. Pronunciation should be right and also ensure that you speak in your own natural accent. It is not essential that you should have a British/American accent but if you can speak in your own accent with no mother tongue influence, it gives an extra beauty to your communication.
Now, how is coherence more beneficiary than the accent in a communication? Coherent communication means that the ideas are well connected to one another and they flow smoothly from one to the next, in a logical manner. While bringing your thoughts altogether in a clear and concise way making a complete sense of the spoken context is what is known as being coherent. For health professionals especially this coherent communication is truly valid as whatever is written or spoken if lacks this connection will definitely agitate the ones on the receiving end. Hence, definitely, their communication needs to be expressed clearly, logically, and intelligibly.