By 1961 Doha's airport was already with some regular flights. Not only connecting the regional cities but also to further afield. As far as London.
Below is a postcard featuring a BOAC Boeing B707 from Qatar. Although the postcard was mailed in Qatar, we know that the aircraft was not yet operating this route at the time of the mailing. In fact, BOAC was just at the time beginning to receive the aircraft themselves.