I’m assuming you’re looking for a basic answer from Christianity. In that case, the TL;DR is that Humans are created in God’s image. We’re endowed with God’s emotions, not the other way around, and emotions aren’t necessarily bad, they’re just corrupted in us by sin.

God experiences all kinds of emotions, he is “jealous” for us, he’s also depicted as sad or angry in many cases. Even Jesus, a “perfect man without sin” feels anger and flips the tables of a synagogue when he sees people turning that religious practice into a corrupt business.

So a religious answer to “shouldn’t God be beyond human emotions?” would be that emotions aren’t inherently bad. We should be angered by injustice, for example. Emotions can be bad, if you let them control you and fly into a rage for selfish reasons, for example, but they don’t have to be bad.