The Red Cross
The Icelandic Red Cross does work domestically as well as supporting international work of the Red Cross/Red Crescent movement all over the world. The main emphasis is on bringing assistance and help where it is needed. Red Cross runs a brunch í Árnessýsla with an office in Selfoss.
Red Cross Helpline, 1717 is always open, see more here: https://www.raudikrossinn.is/hvad-gerum-vid/hjalparsiminn-1717/
Information about Red Cross Helpline in English: https://www.raudikrossinn.is/1717/english/