、。
When she saw me, she gave a courteous bow.
Literal
She [topic-は] me [object-を] sees [when-と], courteously bow [object-を] did.
丁重に is the adverbial form of 丁重 ('courteous, hospitable, formal'). It overlaps heavily with the more common 丁寧 ('polite, careful') but splits on emphasis: 丁寧 leans toward attention and care (a 丁寧な説明 is a careful, thorough explanation), while 丁重 leans toward formality and respect (a 丁重なお断り is a polite-but-firm refusal). Both share the 丁 morpheme — its root sense of 'thorough, exact' shows up in many polite-register words. A 丁重なおじぎ is a bow done with formal, ceremonial respect.