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I think in your case I would take a wait and see approach. If the branches are still green and pliable I don't think pruning is in order just yet as it may still regrow leaves. Some fertilizer may help speed the process along.

https://www.gardeningknowhow.com/ornamental/shrubs/holly/fertilizing-holly-bushes.htm

GardeningKnowHow.com recommends that the male and female plants be within 200 yards of each other: https://www.gardeningknowhow.com/ornamental/shrubs/holly/holly-bush-no-berries.htm

Yellow leaves on Holly can be watering issues, poor drainage and what I believe your shrub is suffering from is Iron Chlorosis.

A soil test is a great place to start, and you local County Extension Office can help you with this.

Here is a link to locate your closest office.

https://www.gardeningknowhow.com/extension-search

This article will provide more information.

https://www.gardeningknowhow.com/ornamental/shrubs/holly/holly-yellow-leaves.htm

Here is a link that will help you.

https://www.gardeningknowhow.com/ornamental/shrubs/holly/how-to-tell-the-difference-between-a-male-and-female-holly-bush.htm

Here is an article that will help you which discusses how to fix yellow leaves on holly trees:

https://www.gardeningknowhow.com/ornamental/shrubs/holly/holly-yellow-leaves.htm

I need a little more information. I would take a closer inspection at those leaves - at first glance they may look to be in good condition (dark green and glossy) but a look close-up may reveal paler and some darker blotching, discolored tips\edges, etc. which would yield some clues as to the cause. Are there any leaves left on the tree or did they all shed? Are there any signs of new growth on the tree?

Are there any signs of insects on the tree?

Has your holly been getting sufficient water (or too little or too much)?