Can my wife leave me alone when she replies to the text message?

Your girlfriend may think she broke up, so don't contact her again.

Or am I mad at you?

You can further judge from her tone and the content of her speech. If you want to make up for it, you can take your time, buy gifts, meet for dinner, get together and so on. If the breakup is a foregone conclusion, it doesn't matter whether you have contact or not. Let it go. It's good for you, for her and for your future partner.