The phrase "to withstand the pressure" means being able to handle or endure difficult situations or strong external forces without breaking or giving in. Full definition
The second prerequisite for responsible religious instruction in public education is a strong teaching profession, which can withstand the pressures of organized religion outside the schools and colleges. (religion-online.org)
Its story rests on a touching belief in the autonomy of government institutions and their ability to withstand pressure from the highest quarters. (indianexpress.com)
We do need coaches that can not withstand pressure. (justarsenal.com)