Dry socket paste rinsing out

[Allison]

I had four wisdom teeth removed 8 days ago. On the 4th day, I had dry socket symptoms and the dentist packed it with a brown paste that smelled and tastes HORRIBLE! I’ve been doing saltwater rinses and using a syringe to clear the food out of my sockets. The past two days, when I rinsed with the syringe, some of the paste came out. Is this normal or should it stay in there longer than four days? I’m in no pain, just occasional temperature sensitivity and soreness.