"is your responsibility" or "is your fault." This whole sentence can be translated as "It is because of you that I have been treated wrong" or "It is your fault that Hagar is doing wrong to me."
## I gave my servant woman into your embrace ##
This can be translated as "I gave you my servant so that you would embrace her." Sarai used the word "embrace" here to refer to having sexual relations. (See: [[rc://en/ta/man/translate/figs-euphemism]]).