She might feel surprised at first. After all, seeing her mom doing such an active and somewhat unexpected thing like riding a bicycle can be quite startling.
She can learn about courage. Riding a horse requires a certain amount of courage as horses can be large and unpredictable, and her mom's example of doing it can inspire her to be brave in facing her own fears.
Perhaps it was a special occasion like a birthday or a holiday, and the mom was baking a cake. The girl watched intently, maybe to pick up some tips for her own baking in the future.
One day, when I was a little kid, we were playing a game. Mom pretended to be a knight on a horse and she sat gently on my lap which was like the horse. I giggled as she made funny horse - neighing sounds. It was a really warm and fun moment that I'll always remember.
It might be part of a creative play. For example, if they were acting out a story or a scene from a fairy tale where mom was playing a character that needed to be on the 'lap - horse' or something similar. This kind of play helps in strengthening the family relationship and creating shared memories.
To overcome the embarrassment, try to focus on the fact that it was a one - time incident. Remind yourself that everyone has embarrassing moments. Avoid overthinking it and keep yourself busy with other activities.
She might have been in awe. Watching water pour can be a very calming and entrancing sight. Maybe she just stood there, completely still, taking in the beauty of the flowing water.