Q. A man was afflicted by illness on the Day of ‘Arafah and he did not remain at Mina, and he did not stone the Jamarat, nor did he perform Tawaful-Ifadah; what is incumbent upon him in that case?
A. If this man who fell ill on the Day of ‘Arafah, was afflicted by an illness which caused him to be unable to complete the rites of Hajj, and he had made it a condition when he entered the state of Ihram by saying: “In Habasani Habisun Famahalli Haithu Habastani ( Should anything prevent me, then I may leave the state of Ihram at the point at which You stopped me),” then he may leave the state of Ihram and there is nothing incumbent upon him. But if this Hajj was an obligatory one, then he must perform it another year.
If he did not make this condition, then according to the most authoritative opinion, if he was unable to complete his Hajj, he may leave the state of Ihram, but he must sacrifice an animal, according to the Words of Allâh, the Most High:
وَأَتِمُّواْ الْحَجَّ وَالْعُمْرَةَ للَّهِ فَإِنْ أُحْصِرْتُمْ فَمَا اسْتَيْسَرَ مِنَ الْهَدْيِ
“And perform properly (i.e. all the ceremonies according to the ways of Prophet Muhammad (sal-Allaahu 'alayhi wa sallam)), the Hajj and ‘Umrah (i.e. the pilgrimage to Makkah) for Allah. But if you are prevented (from completing them), sacrifice a Hady (animal, i.e. a sheep, a cow, or a camel) such as you can afford.” [Al-Baqarah 2:196]
And the correct meaning of His Words:
“But if you are prevented...”
is that it includes prevention by an enemy or prevention by anything else; and the meaning of the word Ihsar (used in the Verse) is that obstacle which prevents a person from completing his Hajj rites.
So, based upon this, he should leave the state of Ihram and sacrifice an animal, and there is nothing incumbent upon him other than this, unless he has not performed the obligatory Hajj, then he must perform it the following year.
However, if this sick person continued the journey in his Hajj and he stayed in Muzdalifah, but he did not stay in Mina, nor stone the Jamarat, then in this case, his Hajj will be valid, it will be counted for him. But in this case he must sacrifice an animal for each obligatory act which he did not perform. Accordingly, he must sacrifice two animals: One of them for not staying in Mina, and the other for not stoning the Jamarat.
As for Tawaful-Ifadah, he should remain, and perform the Tawaf - if Allâh cures him. According to the most authoritative opinion, the limit for performing Tawaful-Ifadah is the end of the month of Thul-Hijjah and if it is due to some excuse, then it is until the excuse no longer exists.
[Fatawa Arkanul-Islam by Shaykh Salih Al-‘Uthaymeen, Fatawa on Hajj (Pilgrimage), Q525 p.761-762, Darussalam]