Reference: Duroos wa Fataawa al-Hajj – Volume 1, Page 11, No.1
Question: [Whilst in the state of ihraam, during wudhoo], when sniffing water up the nose then blowing it out, one of my nasal hairs fell out; so is there anything (penalty) required of me?
Response: There is nothing required of you. So if a person has not intended to remove any hair, and then a hair does fall out without intending this, then there is nothing required of him.