I have tomatoes!

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They are green, but they are puffy! Are there any tomato experts out there? One fell off when I tried to give it a hug. Will it turn red in my kitchen? Or wither and die? The one shown is still hanging on the vine. I believe them to be "Roma" tomatoes, which I enjoy in salads. We had big rain today, so I hope I get several more. I have seen maybe ten flowers on my tomato plants.