Should I message her?

We haven't talked for almost a month and it's not because I don't want to but rather that she never messages first, I thought I would wait and see how long it took her to initiate a conversation and now I am wondering if its a friendship worth keeping. And it's not like she super busy she is talking to her other friends and it's not like we aren't close we have known each other for almost 3 years now and are close friend( which now I am question)