I dont really get it, a visit visa is completely different than a work visa. A visit visa is for tourism, a work visa is issued by a company to come to Qatar to work, which is then transferred to a residence permit. If you didnt enter the country and the visa has expired you should have no difficulties in getting another visa. If you are going to be issued a work visa from your new company and they already procured the visa it means you have no worries as the company would not be able to issue you another visa if there was issue with your previous visa.