Replaced battery but doesn't turn on?

I received an iPhone 5c as a hand'me-down from my sister. She ended up purchasing a the 6 since the battery in this one was fried. I forked up the $45 to have a professional replace the battery. It worked great for a week or two. Since I live out of my providers coverage area, I was still using my galaxy so the iPhone was barely used and charged maybe 3 times total. I'm planning a trip and I was hoping to switch phones while I was in the area but it doesn't power on. I've plugged it in to charge and checked an hour later, absolutely nothing happened. It doesn't turn on whatsoever. Any ideas?