Why did William Shakespeare's enemies hate him?

Answer 1

There is no record that Shakespeare had enemies. As far as we can tell, he was very easy to get along with, in contrast with his cantankerous contemporaries Ben Jonson and Christopher Marlowe. The only ill-will that was ever shown to him was when Robert Greene called him an "upstart crow", but when Greene wrote this he was disappointed, bankrupt, embittered and dying. His crabby remarks were due to his own situation not to Shakespeare.

Answer 2

According to what we know, Shakespeare was very easy to get along with and had no enemies, unless you count Robert Greene's spleen-filled remarks about an "upstart crow". But Greene was a sick, dying, embittered and jealous man at the time he wrote that.

If Shakespeare did have an enemy, and we have no reason to think so, that enemy would have hated Shakespeare for whatever reason made him an enemy. Which answer, you will notice, tells you absolutely nothing.