The phrase "complete irrelevance" means something or someone that is completely unimportant or unrelated to a situation or topic. It does not have any significance or impact. Full definition
In such an upheaval the Baloch territories are likely to go their own way, and other tribal regions along Pakistan's western borders may also complete the irrelevance of colonial lines drawn through clans and kin. (blog.politics.ox.ac.uk)
(b) Equally unquestionably, we have to face a situation in which the Christian message and the Church have become to many a complete irrelevance. (religion-online.org)
You do understand that if Bayern or Real don't want to sell or if either player doesn't want to come then whether we want to spend the money or not is a complete irrelevance. (justarsenal.com)