Originally Posted by google

deep seated versus deep seeded grammar
What does deep-seated mean?
Deep-seated is the correct expression and is defined as firmly established at a deep or profound level; entrenched.

Shelby has deep-seated anxiety about this situation
He has a deep-seated infection.
People generally get this phrase mixed up because it isn’t that farfetched to think of something firmly established at a deep level as being buried in the ground, i.e., deep-seeded. This, however, is an incorrect reading of the metaphor.