Did Crazy Joe Davola Kill His Shrink?

...That be the psychiatrist Elaine had been dating who wouldn't allow her to break up with him.
When Davola told him he had just meet a great woman named Elaine, the scene ended suddenly before the psychiatrist could respond - perhaps angrily respond.

Given Davola and his psychiatrist were both fixated on Elaine, and that Davola had threatened to Jerry that he had already put the "kibosh" on someone before, perhaps we can conclude that he had murdered his psychiatrist over Elaine.