For the record: in order for bugs to get into the wood, they need to get into your house. If you don't already have bugs, having wood furnishings won't spontaneously cause them to appear.
The kind of glass provided for tables and counters is considerably stronger than mere window panes; it should bear up under the weight of a new, flat screen TV with no difficulty - even the big ones don't weigh much.
All of that said, could it shatter with kids in the room: yes. Could it shatter without kids: maybe. While tempered glass is very tough across its face, it is VERY susceptible to shocks at its edges. One good whack on the edge with something solid and there goes not just the table, but the TV too - possibly on top of your kid.
If you like the aesthetic of a clear glass support for your TV, would a wall mount be even better? That's even more minimalist than the glass top.
Good luck with it.
"Just answer the question next time," okay, I'll play.
"What are the odds?" Can't begin to guess. How clumsy are you? How likely are you to randomly trip and fall into something? How likely are your kids - do you have kids? - to knock into a piece of furniture?
You want us to give you the odds, you need to provide a lot more information. Since the question you are actually asking - go back and read it - is looking for a probability, I can give only this response:
There is 100% probability that your glass TV stand will shatter. It will either happen while you own it, as you discard it, or at some point during the recycling process (if you are as conscientious as that) or as it is being dumped into the landfill (if you aren't).
This is exactly answering the only question you actually wrote down. If this displeases you somehow, whose fault is that? Meanwhile, go back and reread the answer I gave before, it does answer the question you intended. If you didn't take up that information, again I say: whose fault is that?
If the community on Y!A doesn't meet with your expectations and Quora does but you become dissatisfied with an answer you receive here, whose fault is that?
It seems to me that the common denominator in all these failings is you.
Good luck with it.