I don't get what "in your own right or as dowry to husband" means exactly here. "Dowry" is property which was owned by the family of the bride, and became the possession of the husband (or his family) as part of a marriage contract, sometimes with some provision under which it may revert to the bride's family's possession (like in case of divorce or annulment). "Bride-price" is the opposite -- payment from the husband's family to the bride's.
In this case, it sounds like you want to say that you either inherited the right to the stronghold/vassalage/crown, or acquired it through marriage. But "dowry" is not how women acquire things through marriage: it's the opposite. Or do you in fact mean by "as dowry to husband" that this is a right which would have been entirely your own had you not married, but your control of it is now compromised because it was part of your dowry -- what was once your own right, you now wield only on your husband's sufferance? That would be an interesting idea for a playbook, but I'd like to see it fleshed out more.
In general, it's an interesting choice to explicitly gender an AW:DA playbook, since the others intentionally avoid gendering. I think there may be compelling reasons to do so. But if what you mean by dowry is "via your husband", this one sort of says "well, if you're a Keep Liege, you command a stronghold; if you're a Great Lady, you command a stronghold, which you might have acquired by marriage." But that isn't actually specific to gender; many male Keep Lieges acquired their strongholds by marriage -- the whole point of noble marriage being a mutual exchange, and unification, of property. So it seems odd to make an explicitly gendered playbook and the main thing it does that's specifically about gender is to emphasize something which is the case anyway?
It would be fine for this playbook to strike "either in your own right or as dowry to husband", and just be that collection of existing rights, verbatim, which emphasize a balance of noble inheritance and hospitality/keep management -- Keep Liege without the war and justice stuff, so an inward-focused leader playbook, a President to the Keep Liege's CEO. That doesn't really need to be as gendered -- it's a traditional female role, but I'd almost rather see another playbook name so that a male character could have that set of rights as well -- and it doesn't necessarily need "exhilarating/intoxicating" in there.
Maybe more interesting, though, and sort of the other half of what you seem to be going for here, would be a playbook which assumed some specific patriarchal constraints on women's power, and then explored what strategies they used to transcend or wrestle with those constraints. Maybe you have ancestral title to a stronghold, but you DON'T just get to rule it -- your husband has that right. He can't rule it without you, but nor can you issue orders in his presence. Maybe you have to use indirect strategies -- maybe you can muster warriors with Good, but only when you can show that you have been personally wronged or slighted. Maybe you have extra moves attached to Denied Right, which lets you automatically obtain certain resources when your rights are denied, because of the people's or the nobles' sympathies. Here, exhilarating/intoxicating makes more sense.
For that latter playbook, I'd also love to see a Season Move "At Court", which allows you to gather influence, information, and experience by attending your royal relatives, patiently listening to gossip, winning loyalties, and carrying on intrigues. Perhaps it would function like Travel, except getting experience towards rights of the New Nobility, and returning with news of the Court.