After 2 hours ,you can rinse mouth so that particles will come out.you can consult through this for further details.

What instructions have been given are correct. But yes u need to have plain ice cream and not with nuts. Anyways after the 24 hrs of tooth extraction u can rinse slowly so that whatever is there will get flushed out. Rinse with moving your head and allow the water to pass out rather than spitting out forcefully.

After extraction dentist advice u to eat plain icecream or to apply icecube in the extraction area to arrest bleeding and for relief . Slight Pain or discomfort is common after extraction for 3 days or more so don’t get anxious take the medication as per ur dentist recommendation. Don’t remove those food by yourself with anything it will washout by itself while drinking or brushing even though if u have irritation or severe pain consult ur dentist .

Idea behind eating cream is to apply cold to the extracted area, cold helps in arresting the bleeding. Even ice cube can be applied gently in the extracted area.

Don't worry/panic. Maintain oral hygiene. Do Warm saline rinses thrice a day(as 24 hours after extraction is over) Visit your dentist for physical evaluation(if required). Pain will get better with time.

No ice cream is required ideally Ideally its something cold which helps in preventing swelling and bleeding Ideally chilled water is best Sugar and milk in ice cream and as you said nuts aren’t that good