She doesn't show her emotions..HELP

Anonymous
the girl I've been seeing for a few months tells me she has feelings for me, and does show it in ways like for example it was my boyfriend and she bought a big card and a cake but she Doesn't show any sort of emotion, when we kiss..im the one who kisses her, hold hands I reach for hers etc

she says she's always had a problem with showing affection and it will come in time..but its been a few months and nothing yet, she Doesn't seems to invite me anywhere or want to do anything, unless I ask her..as she is super busy with class but whenever she does have time off I never get a invite to join

problem is I'm affectionate guy, and because she Doesn't show affection or emotion I'm having to constantly ask if we are good, she always tells me that I'm worrying over nothing and that we are cool

ive openly spoke to her about this and she says its just the way she is

problem is can you survive in a relationship with someone like this? I want to as I really like her, but sometimes I'm doubting it but I've found someone I really connect with. do I carry on and see if she changes or cut loose?

advice please!
She doesn't show her emotions..HELP
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