Deep-rooted
adjective
(literally, of a plant) Having deep roots; (of a non-living object) deeply and firmly embedded (in the ground, etc.).
Firmly established in thought or behaviour and difficult to change.
“They avoid conflict at all costs because of their deep-rooted fear of upsetting people.”
Synonyms: bred-in-the-bone, deep-lying, deep-seated, ineradicable