My eldest son did this for the first two months straight. Cried every feed. Took ages to latch. There were a variety of reasons. I don't think they are what you are experiencing though.
Later, once past the initial problems there were a couple of things that would cause it.
Teething definitely - but how old is she? Stick your finger in her mouth and have a bit of a feel for sharper areas or look for whiteness just under the gum, or a bulging tooth.
A cold will make it difficult cause they have troubles breathing, so breastfeeding can bother them.
Something you ate is common - some kids don't like chocolate!!!! or spicy food or something. Have you eaten anything different.
Your period - if you have started ovulating again it can definitely cause a few problems for some people.
As for what to do. I wouldn't leap to bottle feeding. It can confuse some babies, and some will even go completely off breastfeeding once a bottle is introduced. Certainly if there is an ongoing problem give it a shot, but I wouldn't jump to it. I'd go with the waiting option. It may not be fun, but she will feed when she is hungry.
Good luck with it - I hope it improves.
erin