Eh, there's some inconsistency on that front. The Jotuun as ice giants is more of a Marvel trope than accurate to the mythos. In the actual mythology it's fairly ambiguous to the point where there is reasonable speculation that they simply represent another competing tribe, similar to how the Aesir and the Vanir were warring factions before uniting.

I know there's at least one instance of one of the Aesir courting a Jotuun/giant. If I recall correctly it was some minor guy but he got loaned Freyr's sword which is why he doesn't have it come Ragnarok.