Hello!
If the message shows as delivered, the recipient has gotten the message on their device. If it shows as sent, it has left your device, but is waiting in the clouds for the recipient to turn on their device or get service (for example) so it can deliver the message. If they have read receipts on, it’ll show “Read” which means just that.
Now determining if you’re blocked is tricky. The best way is to ask that person directly, (if possible.) If not, you can try to call them. If the call goes straight to voicemail there’s a good chance you’re blocked.
However this must be tried more than one time, and at different times of the day for better results. Because the recipient may just have their device on DND, or it may be off, or they may have no service.
You can’t tell if you’re blocked via text messages, I think. But I may be wrong.