My in-laws were born again Christians who would only see born-again Christian doctors; I can understand a person wanting to see a doctor who shares many of their values.  But skin colour?  Get real.
And, I looked at the app you provided a link to. It helps doctors understand when to administer insulin during Ramadan, etiquette when dealing with Muslim patients, issues about religious beliefs and organ transplant/donations, etc.  It isn't there for Muslims to find Muslim doctors, not that I think there is anything wrong with that, as I understand my Christian in-laws wanting a Christian doctor.
As is so often the case Layla4, you simply don't know what you're gassing off about.