touch, feel, collide with, conflict with
觝 centers on physical contact that can be gentle or forceful: touching, feeling, colliding, or conflicting. The meanings range from light contact to direct opposition.
觝 combines 角 (horn) with 氐, which likely contributes the sound and the idea of butting or pushing against. The character originally referred to animals using horns to collide or touch.
The left side 角 is a horn, and the right side 氐 suggests pushing. Picture two animals touching or colliding horns: that is 觝.
For テイ, imagine a tea cup (ティー) being touched by a horn: tea -> テイ, and the horn gently feels the cup.
strength contest; sumo wrestling