General antonyms:
* Carelessly: This emphasizes a lack of caution or thought.
* Rashly: This implies acting impulsively and without considering consequences.
* Boldly: This suggests fearless and confident action.
* Confidently: This indicates a belief in one's own abilities and a lack of worry.
Contextual antonyms:
* Trustingly: If "warily" implies suspicion, then "trustingly" suggests complete faith.
* Openly: If "warily" means cautiously, then "openly" implies a lack of secrecy or reservation.
* Freely: If "warily" means hesitantly, then "freely" implies acting without restraint.
The best antonym for "warily" depends on the specific situation and the nuance you want to convey.