Here are some synonyms for "warily":
* cautiously
* carefully
* suspiciously
* hesitantly
* apprehensively
* with trepidation
Example sentences:
* The hikers moved warily through the dense forest, watching for signs of danger.
* The detective questioned the witness warily, trying to determine if they were telling the truth.
* The dog approached the stranger warily, sniffing the air and barking softly.