I find the little ones have difficulty breathing in the wind and if it is bad enough for that then I don't take them out. My backyard is sheltered somewhat so while it blows around the street - the fenced in yard isn't as bad.

The sky was ominous, just weird looking as if it could downpour any second and that is no fun with a group of toddlers outside who don't move very fast nor help put much away.

I think they may find there were issues with the tree anyways since again assuming the play yard is semi sheltered. But at the same time we did have a wind warning all day and some areas saw severe wind bursts so yes one tree is uprooted but nothing else touched is entirely a possibility in weather like that.