While in Pakistan, we worked with organisations that supported...

While in Pakistan, we worked with organisations that supported those with genetic conditions. Those with problems were overrepresented by the children from cousin-cousin relationships. A rudimentary understanding will tell you the reason for this and the reason that cousins marrying cousins is not a good idea. Not every child born of a cousin-cousin relationship has a problem; the chances of there being problems are considerably higher than is the case for other children.
If you do not intend to have children, I can't think of a reason that you shouldn't marry your cousin. Adoption is an alternative option to have children.