Bowing before something like a person, tree, statue, etc., is not one and the same as "worship". The Buddha, for instance, represents one's own innate capacity for enlightment; therefore, you are bowing to your own highest aspirations and/or Self. It's also an act of humility - something I'd say you're lacking here.
"A man who bows down to nothing can never bear the burden of himself." - Dostoyevsky