Noun form for "despise"

The noun 'despise' is attested in OED Online in early Modern English:

1586 G. Pettie & B. Yong tr. S. Guazzo Ciuile Conuersat. (rev. ed.) iv. f. 226v, Occasion of despise and laughter.

This sense of 'despise', the obsolete noun,

... contempt, despising

(op. cit.), is equivalent to a sense of 'despite' now also obsolete or archaic in contemporary Modern English:

despite, n.
1. a. The feeling or mental attitude of looking down upon or despising anything; the display of this feeling; contempt, scorn, disdain. Obs. or arch.

(op. cit.)

As suggested, however, the noun form 'despising' continues to be used and understood with the sense given in contemporary Modern English, as

despising, n.
The action of despise v.; contempt, scorn.

(op. cit.)

The noun form 'despisal' also continues to be used, perhaps more commonly than the noun 'despising':

despisal, n.
The act of despising; contempt.

(op. cit.)

Short of synonyms such as 'disdain', 'contempt', 'scorn' and derivative forms of those (for example, 'contemptuousness'), the noun forms 'despising' and 'despisal' are as close as we come to noun forms of the verb 'to despise'.

Note also that 'disdain' is much closer in meaning to "the noun form" of 'to despise' than is 'derision'.

Despise could be its own noun:

There was an unmistakable stench of despise and disdain coming from the aristocratic in-laws.

Add an appropriate determiner before the word. (Wiki)

There was little doubt who the hero was and who was the despised.