According to my research, this may be a white eye discharge, it does neither present any danger for the eye itself, nor does it relate to a disease or a bacterial infection; and it does not require a visit to a veterinary professional.
The “cloud” will eventually be removed by the rabbit, when it washes its face. It is possible to remove it by hand, but one must be careful not to damage the surface of the eye.
When the discharge becomes constant and collects at the corner of the eye, this is no more related to the presence of a hair. This situation requires the visit to a vet.
I just copy-paste it from the internet
but please try checking the pic of this white eye discharge, maybe that's the one that is in your rabbits eye.