Good Heavens! I'm a Goose not a Swan

Similar setting where the female main character gets transported to ancient time, ends up as a slave, and has to buy her own freedom using inventions and ideas from the 21st century.

both drama are about timetraveling into the body of another person,both fls land in the middle of the original body's adversities and find romance as they try to adapt in a completely different time period and environment.
Anyone watching Good Heavens should definitely give Love destiny a try. it is actually so popular that they even mention the drama in the first episode of Good Heavens.