Her character has always been that she is selfless to a fault (and I mean "fault" literally, she is almost self-destructive) and lacks confidence in her decision-making. In the new patch she gets a lot of screentime, so the player can see her better.
Kaliska doesn't want to get married either, but will not act on it on her own (as I said, I haven't even began working on that part, so I'm still thinking about how she would act, I am currently doing other parts).
As for the type of marriage... Well, Psema is a very sexist place, toxically patriarchical in most areas. Theodoxa and the areas surrounding it are the only places I have designed so far with a strictly matriarchical system , and they are their own brand of horrible. Imperia and its lands are far more gender-neutral mostly because of Ezalor and his stoicism (if you side with the Queen it turns into a more patriarchical society like the Town of Beginnings and if you side with Leona is turns into a far more socialist place), but Asari specifically has long-since had strictly patriarchical traditions. [I have expanded Asari to also have an eastern part, and with all the new events it is very clear that the locals and the occupying force (Imperia soldiers) have very different cultures and thinking. For example at one point you find a guard and a merchant arguing about the punishment of a thief. The guard is saying that by law he should just do community service for a day, the merchant says it is tradition that he has a hand cut off. The guards see the people of Asari as barbarians, the people of Asari see the guards as uptight fools meddling in things that do not concern them].
The more I write it here the more messy it sounds, but it's quite clear in the new patch, because I've mapped out the place better, aka separated the floors into specific kingdoms, all of which have more or less the same cultures/values. Floors 1-4 and 10-11 are the kingdom of Yudah, and belong to king Rune (the old man in the Black Iron Palace). Floors 5-9 and the new floor from Into the Jungle and the kingdom of Petros, belonging to king Ezalor/queen Oracia/queen Leona depending on who you side with.
To come back to Kaliska, she is too pure of heart, so she listens to what others tell her unless it goes against her conscience. It is self-damaging. (she actually has a lot of Hana's old qualities)