The phrase "bear down on or upon" means to approach or confront someone or something with force or intensity. Antonyms for this phrase would include to retreat, withdraw, or back off. Other antonyms could be to relax, ease up, or lighten the pressure. You could also use the opposite phrase, "bear away from," which means to move away or avoid confrontation. Additional antonyms are to pass, avoid, or sidestep, which suggest avoiding the direct approach altogether. Whether it's a physical threat or a challenging task, there are many ways to avoid "bearing down on or upon" something or someone, and finding the right words can make all the difference.