I spent many years on the various Trident fleets in BEA/BA - but having left the fleet before it finally went out of service I can't be certain about this - however I don't think we ever had a female Trident pilot.
Others who were on the Trident fleet to the bitter end may know better,
The woman I think was the first female pilot to join BA, I believe joined the airline in 1989, but on the B747 fleet, later featuring in a BBC documentary.