Its so funny how so many issues come down to the push or don't push scenario. DS 5 hated his (expensive!) tricycle because the darn thing was too heavy for him to move on his own. So we gave up and switched to a bike with training wheels - he found it more stable like the tryke but more manageable. But he was never crazy about it, he has classmates who ride to school - he would never want to do that.
We have wondered whether there is some issue with gross motor - he runs like a snail too - gets lapped by his classmates. But he is a good swimmer - prefers that too. We are doing a lot more walking which will hopefully build up stamina - but I think JamieH has a great point - DS doesn't like to just run or just ride - not sure why swimming is different for him but it is.
I think dislike is ok - so long as they do something else to gain exercise and work those muscles. Fear I find I need to work with - like being afraid of the scary parts in books and movies - we go the route of gaining comfort with gradual introduction. Start with training wheels, leave em on till she is embarrassed or super confident. If she is afraid with the training wheels then I would work with her to figure out why and use the fun of doing the parade as a carrot.
DeHe