deep-rooted

adjective3

1. •
   Of a plant, having deep roots.

   • He observed the leaves of trees there abouts more deeply green then else∣where, the Oakes broad-spreading, but not deep-rooted — 1662
2. •
   Of a non-living object, deeply and firmly embedded (in the ground, etc.)
3. •
   (figurative) Firmly established in thought or behavior and difficult to change.

   • They avoid conflict at all costs because of their deep-rooted fear of upsetting people.