apologetic
Our guide shrugged apologetically, telling us it was time to leave.
The singer suddenly started to cough and waved apologetically at the people nearest the stage.
Someone from the bank apologetically phoned to ask if I'd used my debit card earlier in the day.

SMART Vocabulary: related words and phrases

Making & accepting apologies
amends
apologize
atone for something
atonement
beg
bury
bygone
conciliatory
crawl
crawl back (to someone)idiom
cut someone some slackidiom
forge ahead
forgive
penance
resolve your differences
shred
sink your differencesidiom
solatium
sorry to bother you
soz