DD is a competitive dancer; from the age of 8 she has competed against and lost to boys
If there were enough boys (at least 6 out of 30-50) they had their own competition separate from the girls, but not routinely - as they got older girls dance with girls and often lose to girls dancing with boys
DD got fed up & stepped sidewards and competed to get upper school/college places - the criteria for boys to get places is generally (but not exclusively) thought to be lower. As is the criteria for getting funding.
DD is not the best, but she is better than lots - she strives to be the best she can be. She got places, she got funding, she got a scholarship (one for children - either boys or girls)
When she goes for jobs, it is unlikely that the jobs she will go for will be sought after by TW - she is 5ft 5 mixed race and so many casting director chose on ability to fit into existing costume - but the most athletic roles (Cats?) would quite possibly take on TW for the-non singing roles for the athletic ability.....over time the costumes could get bigger 
Men already dance en pointe - will TW become lead at the Royal Ballet maybe?
But forcing women & girls to compete with men & boys is not right - and in dance (at top levels) the boys will (& do) win