BETTA FISH HELP PLEASE!!!!!?

I have a Berta. We are going to europe for a month. I was going to drop it off at a friends house, but my mom never took the time to take me there. My moms friend will come once every five days to water the plants. She will also feed my fish. The fish is in a 5 gallon tank, which is totally clean except for poop and small plant bits. The water is all new, but it appears murky. The lady will come when she can to feed my fish as well. (she lives like 5 mins away. Again, I will be gone for 1 month. Will my fish survive?