Oh sorry, i was reading it as if this had been asked before (and you were hoping for different answers).
I do not know where you live - but in my town, a cat sitter charges $15 per visit. They are licensed,bonded and insured. That is for 30 minutes - feeding is done, meds if required, litter clean/change, and playtime.
I think this would be the best way to go. The cat would be happier in their own home, and prolly cheaper than a kennel. That is, since you said you do not have close friends/family nearby. A trusted friend/relative/neighbor is always the way to go.
For the future, I would get to know my neighbors, esp. the ones who own pets. It is good to cultivate a reciprical relationship for pet favors, even if not need for a long time.
Even if I think my baby could survive for seven days...I'd need to have someone check on her to make sure some emergency has not happened.