Adverb
By way of apology.
Source: Webster's dictionaryhe spoke apologetically about his past Source: Internet
Gabriele nodded, shrugged her image’s shoulders apologetically. Source: Internet
Kate heard a knock on the open door of her office, and looked up to see Anneke from dispatch, grimacing apologetically. Source: Internet
Their teacher, an energetic newcomer to the district, came over and whispered apologetically, “I’m letting them read their library books.” Source: Internet
“We’ll be landing soon,” the brunette flight attendant said almost apologetically as she strolled the aisle of our plane. Source: Internet