Mine is nonstop so I haven't got this problem, but I found that as a kid, I preferred cycling and swimming to team sports like softball (at which I am terrible) or even soccer and basketball (which I loved; I'm a mediocre player at both, but I always knew where I was supposed to be and contributed in my own way) because I was only ever competing against myself.

Does your DD1 do anything like dance or gymnastics? Even yoga would make a (small) difference in some ways, especially if she's feeling stressed out.