"untroubled" in the adjective sense
1. untroubled
not beset by troubles or disturbance or distress
"seemed untroubled by doubts of any kind"
"untroubled sleep"
"a kind untroubled face"
2. secure, unafraid, untroubled
free from fear or doubt easy in mind
"he was secure that nothing will be held against him"
3. untroubled
free from turmoil or worries
"untroubled times"
Source: WordNet® (An amazing lexical database of English)
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