"disturbed with" is correct and usable in written English.
You can use it to mean "frustrated or annoyed by" something. For example: "She was disturbed with the amount of noise coming from the neighbors."
The disturbance regime was dominated by harvesting (59%% of all area disturbed), with lower levels of fire (23%%), and pest/pathogen mortality (18 %).
"They don't want their clients disturbed with something like that".
Chamber disturbed with fragments of wood in debris and bones scattered.
I was fascinated but disturbed with the technology "advances" mentioned in "Stop, Thief!
Coughlin said they talked every day but that he remained disturbed with the inconsistent play of Sheridan's defense.
In contrast, bay and estuary macrofaunal communities were more frequently disturbed with nearly 13% of the area supporting disturbed benthos.
4. Amelogenesis imperfecta: In this hereditary condition, enamel formation is disturbed with regard to mineralization or matrix formation and is classified accordingly.
He was somewhat disturbed with his finish, but anticipated a stronger finish at the national qualifying meet three weeks from now.
The woman told Radio 4 that her husband was "very disturbed with the idea" as it was "unheard of in my immediate community, family and friends.
And how sorry to all those others on the train who weren't directly involved but whose previously uneventful journey I disturbed with my distress.
The body was found lying in the same position as the effigy, but the bones had been disturbed, with the jaw lying by the elbow.
