This post is focused on women whose relationship with their father is a healthy one, and who are comparatively stable emotionally (no obvious major warning signs).

Assuming this is the case, get to know her dad. If he has passed, let her talk about him. Then try and corroborate the information. You want to know the real man, in addition to her biased historical retelling. That matters.

If she does not know him at all:

Don't be surprised if she has little to no idea what she wants in a guy. Dad's the template, and without that, it's all trial and error until she forms a template later in life than most women do so. If she ever does. Be wary for sudden shifts in her feelings and commitment. She could decide the grass is greener at the drop of a hat.

If the relationship is unhealthy:

Be very, very careful here. Your relationship could turn that way. Fast. Unhealthy relationships are the template, after all. This is especially true, if she does not realize the relationship is unhealthy.

If he's an old school, stoic workaholic:

Frame is everything here. Be steadfast and hold to your frame. Any loss of frame will be seen as weakness or whining. She wants strength, fortitude and someone who just does what's needed without her having to point it out.

Even communication of your feelings or desires for the relationship can and will be seen as weak. She might not say it, but she will see it that way.

Her template is a Rock, the guy who walks smiling through every storm, never complains, never breaks frame and controls his emotions like the Captain steers the ship. Give her this, and she will be all over you. Lose your confidence or your cool, and she will see you as weak and swing toward other, stronger branches.

If her image of her father does NOT match the reality (but she adores/idolizes the image anyway):

Run like hell. This woman is fighting a deep seated internal conflict between what she knows as her template and what she wants in a guy. Really wants.

She wants the image of dad. The storybook version in her head. Which is, invariably, some mishmash of Prince Charming, King Arthur and the rich guy from 50 Shades.

But when she gets it...it STILL won't be "right" for her. Something will feel "off" or "wrong" somehow. Like it's "just not working" for literally no reason.

Because deep down, she knows what she has, doesn't match the template as it REALLY exists. Oh, she won't - ever - admit it. But she KNOWS.

Be wary of women whose IDEA of their father has supplanted the reality of him. Spin that plate, but don't eat off of it too long.

To sum up:

Get to know her Dad. The REAL version. And make sure you can give her that same behavioral template. If not, she's just a plate, and it needs to stay that way. If you get involved long term with a girl knowing you are nothing like the father she adores and idolizes, you have only yourself to blame when her rebellious stage is over and she moves on to an LTR with someone more like her Dad.