In 1932 Britain formed the Indian Air Force as part of the Auxilary Air Force. By 1938 it (if my memory of Wiki serves me correctly!), only had five Westland Wapitis on strength.
By 1943, it had been expanded to seven squadrons, and to nine Squadrons in 1945.
In recognition of their contribution, King George awarded the service the title of 'Royal' to become the Royal Indian Air Force.
There is some potential here, if the Force had been expanded earlier - a Indian pilot is cheaper than a British one - Chamberlain would've gone for that! Moreover having a local force available means you don't have to send a British one thousands of miles too soon. They could be used to reinforce either Malaya or the Middle-East.