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In Latin these phrases are called (parentheticals] because the verb is omitted and the parenthetical reflex is inserted to make sense of it/
NIHIL SINE DEO really means
“Everything is possible with God”.
or “Nothing is impossible with God.”
or “Nothing [can be done] without God”
or “God is Everything” or “Do everything for God”
or [There is] nothing without God.” [double negative for emphasis]
[reflexive of the subject of the prepositional phrase]
It depends upon the previous phrase in the context to which the “nihil...” is referring. Latin phrases especially spiritual ones, should not be taken out of context and used as isolated latin examples because Latin thought flows from one phrase into the next. Otherwise you wind up with just a motto for inscriptions on medals and coats of arms.
Latin is not constricted to exactness as is the Greek.
Any English latin/greek grammar latin schoolboy knows this.

e.g., In Vino veritas, [no verb]= In wine [there is] truth-

“Verbum sat” [short version of “a word to the wise is sufficient] short for “VERBUM SAT SAPIENTI EST”