Shall I wait ?

So got the job. (I think)

They sent me an E-Mail stating that I got the conditional offer if I provide NSL check. (Basically checking if I am allowed to work in the UK).

I am allowed because right now I am working.

So got an Email that it was successful yesterday afternoon.

Question is should I contact the manager or should she contact me. I don't have her number but she has mine.

Im hoping to start this job next week in which Im not sure if it will happen.

Any ideas ??

I just don't want to appear as a beg as I called them to say that I did do the application.

I am not the only there is 1 more person she is hiring at the same time.

Shall I call them or not.