All perfect praise be to Allaah, The Lord of the worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His slave and Messenger.
It is permissible for you to perform a Hajj whose expenses are gifted by the disbeliever you have mentioned. This is supported by the fact that the Prophet, sallallaahu ‘layhi wa sallam, accepted gifts from the polytheists.
A gift from a disbeliever used in performing acts of obedience and drawing nearer to Allaah involves no wrong as is the case of a disbeliever building a mosque. This is so provided that the gift does not include a bribe or results in loving the disbeliever, taking him as an ally or giving up some Sharee‘ah rulings in return for it.
The gifted money does not make Hajj obligatory on you and you are not considered able to perform it on account of this gift according to the majority of scholars.