The visa probably will be single entry, and your company must apply for a visit visa again while she or you are in turkey-egypt. I think with a minimum of three business day.

I check last week the tickets to Cairo and QA have only one flight a day and the hours are not the best. I recommend you to check. (In my personal case I prefer a Midnight flight for long distances, or Early in the morning for short distances...)

Good luck.

The Venezuelan Sensation!!!