Check your "trade fills" window or anything like that. Thus, regardless if it shows up on your chart or not...the trades should show up in your "trade fills" window or whatever that window is called in your broker trade execution platform.
Yet, if your trades are not in the trade fills window...you're not in a trade. If you think you did execute a trade and its not showing up in the trade fills window...call your broker to prevent a big problem.
This is were your orders go to. If you really think TDA sends your orders to an exchange you are mistaken.
In addition, you only get a crappy version of the SIP feed which probably consolidates ticks and isn't real time.
You get what you pay for.