UPDATE
I've had a few people send me a private message or two, so it seems I'm not the only shorter person looking for a career as a pilot.
I am happy to reply to private messages.
I have satisfied myself that my height although right at the limit is adequate. I have been deemed to fit both A320 and B737 full flight sims.
One of the main concerns I have is with the Cessna 172 - often used in training in FTOs all over.
I have been assured that 5' 1" with cushion is fine.
I start training in December.