This is the 11515th most frequent Russian word.
досмотрев
"Having finished watching" or "after watching."
The word 'досмотрев' here means 'after finishing watching' the photographs as part of completing a task.
Мы закончили обсуждение, досмотрев фотографии.
We finished the discussion by reviewing the photographs.
'Досмотрев' indicates the completion of the action of watching the show, leading to her feeling of relief.
Она почувствовала облегчение, досмотрев скучный сериал.
She felt relieved after finishing watching the boring show.
In this context, 'досмотрев' implies 'having completed viewing' the performance, triggering the applause from the audience.