Ooops.....I'd always thought the Greek root iatr referred to healing, but apparently not:
From Merriam-Webster:

One entry found for iatrogenic.

Main Entry: iatrogenic
Pronunciation: (")I-"a-tr&-'je-nik
Function: adjective
Etymology: Greek iatros physician + English -genic
Date: 1924
: induced inadvertently by a physician or surgeon or
by medical treatment or diagnostic procedures <an
iatrogenic rash>
- iatrogenically /-'je-ni-k(&-)lE/ adverb

I guess this lets us nurses off the hook.