Girls, First time dating. What do you do when you really like someone but don’t feel a connection?

It’s my first time dating. I’ve met this girl online. This is the first girl I’ve dated. We’ve been on about five dates already. We both have mutual feelings for each other but the conversations run dry. I’m normally a quiet person and she has social anxiety which she’s working on.
I really like this girl and don’t know what to do. The only thing that bothers me about her is that she’s very standoffish because of her social anxiety. When we’re out she always keeps a distance apart and looks scared. I feel people are looking at me like I’m holding her against her will. When we’re walking keeps her hands tucked inside like I’m giving creep vibes. I really like this girl and she said she really likes me back. Any advice would be appreciated. Thanks

Girls, First time dating. What do you do when you really like someone but don’t feel a connection?
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