Here in the UK, we don't have the light levels that N. America gets, and that's why we remove those sideshoots from indeterminate (vine or cordon) plants. If you remove them from determinate (bush) tomatoes, you'll get no tomatoes. If you let me know the variety of tomato, I'll let you know whether to remove them, although I'm as sure as I can be that it's a vine (cordon) in which case remove it.
In fact, from where that sideshoot is, I'd bet you bought this as a plant or were given it, rather than growing it from seed, and the reason I reckon this, is that the sideshoot is so far up the plant that there would be other sideshoots further down, but they were removed prior to your possession of the plant. In which case, go ahead and remove it.
If you get a 3-4" plantpot filled with compost or soil, make a hole with your finger and stick the sideshoot stalk in it and keep it damp, you'll probably get another plant.
It is actually the case that tomatoes perform better in terms of quality, size & overall yield (in terms of area) if they are treated in the same fashion, but is less important than here, and far more work is involved, which is why it doesn't tend to happen there.