"To override any concerns" means to dismiss or overlook any worries or objections that may be expressed and proceed without being hindered by them. Full definition
He could also smell the demon's scent, though his concern for Nezuko overrode any concern for following it. (manga.jadedragononline.com)
How do professors address the current generation of students whose overriding concerns seem to be their careers and financial success? (religion-online.org)
The first and most overriding concern is that of zoning. (slaw.ca)