Should I Drop Her As A Friend ?

So I met this woman at my last job and I guess we clicked and somehow we became friends. I'll call her Ashley. I noticed from working with Ashley that she had a short fuse and was sometimes hot and cold but what made me like her was that fact that she is a funny, upbeat person. Me on the other hand I'm pretty reserved and timid. Anyway, we've only known each other for almost a year and we've had a "fallen out" twice. Today, I took her and my best friend out to the nail salon and I told Ashley that I would pay for her nails and she said no she doesn't want them done. I said okay and so my best friend and I continued to get ours done. After we finished Ashley looked at me with a angry look on her face and said, "Yall don't ever have to worry about me coming with yall anymore!" and she said stuff like, "Why do yall want attention so bad?" I got angry and dropped her off. I haven't said anything to her since. This isn't the first time she's gotten mad at me for a petty reason. Should I just drop her or talk to her to see what's going on?