Our photographer is asking for an additional fee after the wedding. I'm not sure if it's fair to pay it.

I hired a photographer to shoot my small wedding at a park. I was about 10 minutes late getting to the ceremony, which I thought wouldn't be a big deal since the photographer sent me a text message right before that she was also running a little late.The photographer was there when I arrived. The ceremony lasted about ten minutes. As she was taking pictures of me and my groom, she told me that I had 30 minutes starting at 6 pm and since I was late, that cut into the time, and if I wanted more time, she would have to charge me. I asked her how much, and she said it would depend on how much time we went over. I told her to just plan on that then (because otherwise, it seems like I wouldn't get any pictures from her).By the time she was done taking pictures, she told me that I owed her $50 because we went over by 15 minutes. She told me she would paypal me. Now that I am home and the wedding is over, I am looking through our email exchanges. She never mentioned that I only had half an hour. The exact wording in her email is as follows: "The total cost of photography for the ceremony and the photos after will be $300. This includes high resolution digital files of all edited photos (there is no need to pick and choose or pay additional) and printing rights. Payment can be made with cash, check or PayPal. There is a 4.5% fee if paying via PayPal."I don't want to lose my wedding photos over $50, but I do feel like it is unfair for her to ask for this amount of money when she never told me that I had a specific time allotment. Furthermore, the pricing for a wedding shoot per hour isn't listed on her website. It says that wedding packages start at $250, which is already more than I paid initially.What should I do here? I want to send her an email that says "Hi! I'm looking through past emails and can't find where you say I only had 30 minutes for shoot. Can you help me out here?" Is that fair or should I just keep my mouth shut and pay the extra $50?Edit: I also wanted to add that the photographer was also slightly late to the wedding herself. My guests told me that she arrived only a couple of minutes before I did. via /r/weddingplanning http://ift.tt/2v5xsJh