Parenthood: Pushing vs Encouraging

Last Sunday, after returning from church, I asked my oldest daughter (10) if she wanted to go run an easy mile with me. I've been wanting to get her out to try it so she can learn how to pace herself (like most young kids, sprinting is the only running she does). She is built like a distance runner - tall, lean with long, strong legs.

At first, she was open to the idea, but the more she thought about it, the more moody she got (and started copping an attitude). She then decided she did NOT want to do it. "I can't run that far...you'll get mad at me...you'll push me...", etc. I'm mindful of the fine line between pushing and encouraging and wouldn't have pushed at all. I wasn't happy with her decision (and, more so, her attitude), but I backed off. The thing is, I know that PHYSICALLY, she could do it, and do it well. Psychologically, I guess she's not ready for it. As an avid runner, I want her to get interested in distance running at a young age. But I know that if I push it on her, she'll get turned off and want nothing to do with it. I just need to find creative and encouraging ways to hopefully get her interested. Who knows...my youngest daughter may be the one who gets interested. It would be great if both do! I just need to take the right steps & not push.