I think the mechanics are interesting, I think it is too easy though, as in there is little skill involved. I think expanding on the idea, there could be more stats, different types of goats/enemies, etc. For example, maybe a magical goat that shoots spells, some goats that try to ram you or even traps being set around the area. Perhaps even an endless mode, but I really like this concept!
When it says game over and you 'retry', is it meant to continue from the last level?