Translation:I am a happy woman.
This seems a rather odd thing to say. Unless you were putting the emphasis on your gender, I don't see why woman is necessary. Perhaps this is just an odd High Valyrian side effect.
It could be that the thing that makes you happy is relevant to your gender. Like if you get a box of really quality pads one month and are like "I'm one happy woman~~"
I'm not sure of the difference between Kirini and Kirine
I believe kirini is plural