Here are some synonyms for "warily":
* Cautiously
* Carefully
* Suspiciously
* Hesitantly
* Apprehensively
Here are some examples of how "warily" can be used:
* "The hiker approached the abandoned cabin warily, unsure of what might be inside."
* "The detective warily examined the crime scene, searching for any clues."
* "The child warily stepped closer to the strange dog, unsure if it was friendly."