Responding to this issue, Dr. Main  K. Al-Qudah said that,

‘In some urgent and irregular circumstances, combining the prayers; Zuhr and Asr, Maghrib and Isha is allowed if you do not take it as a habit. But refraining completely from praying during working hours is extremely prohibited. Also, you do not need to cover your head.

On the other hand, there are thousands of practicing Muslim physicians like you who practice their religion freely and pray on time during their working hours, and without being abused or discriminated against by their employers!

From your side, you are expected not to spend a lot of time for praying and preparation for prayers. If your time is too limited, you can pray all the affiliated optional prayers at home and do only the obligatory ones.