You should be able to open up that campaign by clicking on it, then after you’ve given it some time to collect analytics, you will be able to see some data and determine if everything went out OK.

This example and the arrows show where I typically look to check that a successful delivery took place. 

1- Look to see that it sent to all the recipients that you intended 

2- Check open rates vs. total recipients 

3 - Check for Successful Deliveries

Hope that helps!