Don't go with your gut feelings. Your gut feelings are frowned upon in this day in age because women don't need protection or resources from men anymore since they get it from society as a whole. Your gut feelings (AKA instincts) will tell you to provide for her and defend her illogically. Also, women will see your gut feelings as weak and you'll end up friend zoned and only used when another man who played his game right isn't giving her a run for her money. Your gut feelings (defender, provider, leader) have been socialized, mostly in part by feminism, to be part of the patriarchal system that strips women of their independence. Women will see this as you revering her too much and just being a complete sap who can be discarded for the dozens of other men who are willing to take your place.
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"Be a man," they say; "I want to be in a relationship where I'm not the one wearing the pants," they say; "I want a man to take the initiative," they say; "I like the man to make the plans for the date," they say.
Not only do they say those things, they expect those things from men, while at the same time hating certain men for expecting them to make dinner and handle shit that is now taboo to associate with womanhood. They got their cake, and they're eating it too. Men's gut feelings in conjunction with relationships with women don't work anymore. Thankfully, you are human, so you can override your gut feelings.
You should, however, take more risks. Become deaf to rejection and learn what makes girls tick by trial and error. It doesn't hurt to get advice from the internet. Many men have been through the same thing you are going through now, your situation isn't unique in the slightest.
But if you really have to have this girl (you'll experience this feeling of a girl being special with every attractive girl who talks to you 24/7 for two weeks, so I don't know why you would absolutely have to have her), then don't risk it. Keep gaming her enough so you remain in the game, but also take risks with other girls. You'll become better with women and she'll like you more because more women means less attention for her. Of course, if she does react to you giving her less attention, she may fight harder to regain your attention, but it may be just so she can have that validation, not because you successfully got her sprung on you.