Should I give her a second chance?

So this girl that I've been "dating" for about a week just texted me that she had caught feelings for another dude and told me she needed space from us both (me and the other dude) and I told her to never be bothered to talk to me again. She was really upset and stuff and then suddenly tried to apologise to me which I did not accept even tho I really like that girl. She keeps asking me for a second chance now. What do you guys think?

P. S I can NOT talk to her in real life because I'm currently away on vacation
Should I give her a second chance?
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