The phrase "adheres deeply" is correct and usable in written English.
It can be used to describe a strong attachment or commitment to a belief, principle, or idea.
Example: "Her commitment to environmental conservation adheres deeply within her values, guiding her actions every day."
Alternatives: "is firmly rooted" or "is strongly ingrained".
She obviously likes Adam but refuses to fall for him, as if adhering to a deeply held conviction or trying to win a bet.
Moreover the adjacent periosteum is important in rapidly and deeply adhering to the surrounding, preventing the ingrowth of larger vessels onto the surface of the transplanted bone and thus protecting the bone from resorption.
"We remain deeply committed to adhering to the highest standards of corporate governance".
(He has said: "I do believe in American exceptionalism. We are the only nation I know that really is deeply concerned about adhering to the principle that all of us are created equal").
If the Common Core standards applied to ANSI for recognition, they would be rejected because the process of writing the standards was so deeply flawed and did not adhere to the "ANSI Essential Requirements".
On the other side are conservative and powerful elements of Afghanistan's population who are deeply suspicious of foreign interference and adhere to a strict interpretation of Islam.
"It is the symbol of one particular sacrifice, and that sacrifice carries deeply significant meaning for those who adhere to the Christian faith".
Justice John Paul Stevens, in dissent, had it right when he pointed out that it is a uniquely Christian symbol with a "deeply significant meaning for those who adhere to the Christian faith".
The cotton gauze was deeply recessed into the flesh, as if adhering directly to the skull beneath.
I posit the view here that the mainstream media, specifically Hollywood, pretends to be apolitical when, in fact, it's deeply conservative and expects its players to adhere slavishly to bland, patriotic consensus.
