score:34
Found it. This is an RFC or Royal Flying Corp cap badge. I thought the picture was showing BBS but it's not. The angle, the quality of the picture and the loop for securing it to the bonnet was throwing me off. The women of the WAAC were often given the RFC badge when attached to airbases. These women were given the opportunity to travel to air bases in France and Germany. I'd also suspect other parts of the world where war time operations were funneled from. These women preformed non-combatant tasks such as typing, and factory/mechanical work; they also had tasks in cooking, cleaning, laundry, etc.
This corps was formed in 1912.
Here is a woman from the WAAC. You will notice that while you can't read the cap badge that the undershirt and tie match the picture. So does the coat with the exception of the added fur lining. The second picture has the same coat.
Here is a picture of a woman who has similar goggles on sitting on a motorcycle with Royal Flying Corps badge on her shoulder. This leads me to believe she either transported mail or lightweight goods around bases.
Here is some more information: On July 7, 1917, British Army Council Instruction Number 1069 formally establishes the British Womenβs Auxiliary Army Corps (WAAC), authorizing female volunteers to serve alongside their male counterparts in France during World War I.
This link shows that WAAC worked very closely with the RFC. They even traveled to Germany and France to assist on air bases Women of the RFC