で here means "because of" or "due to". It admittedly sounds a bit awkward in English with two "because"-like elements. If you want, you could probably translate it to "with", therefore: "Since/because I'm busy with meal preparation...".
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.