/ɪnˈtrentʃ/

en·trench (also in·trench)

BrE /ɪnˈtrentʃ/

NAmE /ɪnˈtrentʃ/

[usually passive]

~ sth

(sometimes disapproving)

to establish sth very firmly so that it is very difficult to change

Sexism is deeply entrenched in our society.

entrenched attitudes/interests/opposition