Yes, this is possible through the airport procedure. You will not need a visa then, but you will have to stay in a special section of the airport until the decision on your case has been made (this can be days or even weeks).
Caution: the airport procedure is only possible at the following airports: Berlin-Schönefeld, Düsseldorf, Frankfurt/Main, Hamburg and Munich.
Within two days from the point of application, you will be interviewed about your case. Whatever can prove your destiny will be helpful, so the marriage certificate and any certificates about your official religious status, material about the law or about the custom in Egypt will help you.
You can find more about the airport procedure on page 41 of this document:
This flyer also describes the general procedure of seeking asylum in Germany