In the new job, she felt her way until she was confident in her responsibilities.
На новой работе она действовала осторожно, пока не стала уверенной в своих обязанностях.
Definitions
To proceed cautiously or gradually in a situation, often by relying on intuition or careful observation rather than clear information; to try to understand or discover something by taking tentative steps, much like moving through darkness by feeling with one's hands.