Great take on the theme, nice art style, and I really feel bad for the horse whenever I fail. Other people have already mentioned the controls, but I just want to add that the fence sometimes blends a bit too well with the background objects like houses. I would suggest maybe dropping the saturation and increasing the brightness of these background objects so that the important gameplay elements would stand out more.
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And right you are to feel bad, your bad jumping is gonna turn him into glue! :P
Jokes aside, I totally get what you mean about the fences not being clear enough at times. I was gonna fix that, but someone said they liked it as it increases the difficulty, so I left it as is. Always get a second opinion is the lesson here!