Girl says she doesn't want a serious relationship 'right now'?

dyfman31
Basically, I've been dating this girl now for about a month and a bit and it's obvious that we really like eachother and all that. However on one date when I offered her my hand while we were walking, she turned it down, only for me to later find out that she wants a casual relationship at the moment and not a serious one. This threw me off guard a bit, but I'm not that concerned it because I know that if I give her time, space and I make her feel valued, things might change. Before this, we were texting really regularly and I don't really want this to stop. What I don't know what to do now is this: should I give her some time (I know she's busy with work and stuff, I respect that) and let her try to initiate a Facebook conversation in the next couple of days, letting her know that i'm giving her space and not trying to rush things, or should I just try to speak to her everyday to show her that her telling me that she doesn't want a serious relationship at the moment hasn't put me off speaking to her. It's a tough choice I reckon, so I hope you guys can help :) Thanks!
Girl says she doesn't want a serious relationship 'right now'?
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