"cautiously" in the adverb sense
1. cautiously, carefully
as if with kid gloves with caution or prudence or tact
"she ventured cautiously downstairs"
"they handled the incident with kid gloves"
2. conservatively, cautiously, guardedly
in a conservative manner
"we estimated the number of demonstrators conservatively at 200,000."
Source: WordNet® (An amazing lexical database of English)
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