Maybe she’s just shy since you’ve only recently met and she doesn’t want to come across as clingy. Give her more time so you can both get to know each other better and eventually she will feel more at ease with you and become comfortable enough to even text you first.
For now, don’t rush her. Just continue showing initiative by texting her and checking on her daily, even if her replies are short. If you really like her, you won’t give up easily.