odi-, noi-, noy- +

The bitter rivalry among artists and writers.

The bitter rivalry among physicians of one speciality as opposed to another field of treatment or medical controversies that result in hatred.

The hatred of (rival) musicians; the bitterness of musical styles.

The spitefulness and hatreds resulting from scholarly disputes.

A mutual antagonism (sometimes hatred?) among theologians as a result of acrimony based on differences in doctrinal interpretations or other religious differences.

Many odium theologicum animosities have resulted in bloody-religious wars over the centuries; some of which continue to this day.

Whom men fear, they hate; whom a man hates, he wishes dead.

Truth breeds hatred.

"Truth can breed hatred", according to Terence, in his Andria, when one is too frank (blunt) with one's friends. Undiplomatic criticism (regardless of how truthful it may be) can also develop hatred with others.