[X] Before making any decisions, talk with her for a bit. You have hardly exchanged more then five sentences so far. Ask her a bit about her family, and subtly about her own ambitions, dreams and desires.
See this is where my bias is coming in. I am putting myself in her position, rather than trying to see things from her position. I would love for, if I was a) somehow in a similar position b) somehow had a similar personality to mine now, someone in Visery's position tell me those things directly.
But frankly, since you're coming from a place compatible with "enable/reinforce agency, put in good place, forget about until needed, then forget about again" I'd be interested to see what you come up with on a later vote on this, after we find out what she wants.
'Cuz i think i'm too sleepy to get it atm.
Putting yourself into another person's shoes is not as easy as it sounds, you are already a step ahead if you can admit it is a struggle to see outside perspectives foreign or even alien to your own since it admits that the view point could be worth expanding your understanding.
A noble lady like Lynesse has pride because they have so little choice despite having so much privilege. A peasant is humble because they have so little choice based on having so little privilege--they need to be humble and inconspicuous to avoid notice because anything they
do get can be just as easily taken away on a whim.
For Lynesse the idea that all that she is privileged to can be taken away the moment someone with more influence over her decides to do so leads into a circular pattern of trying not to admit that she has not done enough to leverage her other abilities. She has one skill that no one will bat an eye at, simply because it isn't as terrifying at worst or confusing at best to see. A woman gaining and
keeping influence and agency based on things other than their ability to influence men. Saying "you could have been so much better" just highlights the anger she will feel when we point out "too bad you're a woman, right?"
Admittedly she wouldn't respond like Cersei and make Viserys a bitter enemy to be disposed of at the merest and lightest implied slight, but it wouldn't really do more than show how out of touch we appear to be, because while to Viserys, saying "fuck the rules" and being a Merchant Pirate Sorcerer Prince is as easy as breathing and had great success, to Lynesse even thinking about trying to become independently
wealthy, despite being a noble, would get her all kinds of face-hurting gossip. For someone who can't afford to be anything more than an extension of their current House's fortunes (Mormont).
To say that she was too concerned with living up to her own standards rather than conforming to others is more of a subjective values oriented statement of course, easy for us to make, but utterly alien in perspective to Southron nobility.
Of course you keep to your standards, why be born with a diamond encrusted spoon in your mouth in one of the proudest and most ancient Houses otherwise?