Please elaborate your question
=> have your company given your release ?
If yes wait till you find another sponsor and then you will get your license in no time directly from the traffic dept.
If your company has not given you release there is no other way that you can stay in qatar, then it does not matter if the license is with you or with your company.

Simple way: go to the traffic department take one more card by saying you lost the first license. If you have the copy you can take the license any time even after two or three years also.