Many people, including Muslims, misunderstand Sharia.
There is no direct reference to Muslim women being or not being professional in the Quran, similar to how there is no direct reference to Muslim women eating dessert.
If it has not been forbidden, it is not forbidden. If it is not forbidden, it is allowed.
Islam is not just the Quran, but also the Sunnah. And an undisputed element of the Sunnah is that Muhammad's first and most beloved wife Khadijah was a wealthy, successful, independent, well-reknowned businesswoman in Makkah. She was actually Muhammad (saw)'s boss, which is how they got acquainted in the first place. After they were married, she continued her business, and after Muhammad became a Prophet, she used her profession to finance the cause of Islam. She was, and the Prophet repeatedly tells us this, one of the ideal Muslim women of all time.
The Sharia Law as interpreted by ignorant fanatics such as Daesh bears no resemblance to reality. Yes, there are aspects of Sharia that are anathema to us, but this is not one of them.
I had this explained to me by a Muslim friend who runs her own business.