I cannot remember a female pilot in the BEA/BA crew room in Queens Building from 1971to 1979, but I may be mistaken.
It is possible that as, "Women hold up half the sky," as the motto went in those days, that CAAC had a female pilot on their Trident fleet in the 1970s, they had around 35 flyable most of that decade. I doubt Iraqi airlines had a female pilot at that time.
As the other contributors above mention, there was no British Airways female pilot until Lynn Barton.
Best of luck in your search.