Can you please assist as to why I did not receive my State return although the State return was accepted?

To track your state refund:    
<a rel="nofollow" target="_blank" href="https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund">https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund</a>

Accepted means received for processing. Approved/Sent are later steps, and can take several weeks (or even months).