The Iron Barrel engines, such as the 2003 models do have some limitations in speed, when used in stock form, or nearly stock form.
They are all plugged up in terms of flow in and out of the engine, and this causes heat to build up. It doesn't shed heat real well.
So, the general rule with basically stock bikes is to not overstress them with speeds over 55mph or so, for very long.
If you do some very basic free-flow mods like a free-flow air filter and free-flowing exhaust system, and re-jet the carb to suit, and run a little on the rich side, you can increase that speed limit by about 5mph or maybe a little more. The bike will breathe better, and it will cool a little better because of that.
I'd consider that the safe limit if you remain nearly stock with the bike. If you get low handlebars like Clubman bars, and reduce your aerodynamic drag a bit that way, you might add another 5mph to the limit, and can even step up one extra tooth in gearing. The slightly taller gearing will let the engine rev just a little lower at all road speeds, and it can handle that with the few basic mods I mentioned without any real added stress.
However, even with the basic mods, it's a good idea to stay off the freeways, and use the state and county roads with a 55mph limit, and that's the safe bet.
The Bullet can go much faster when heavily modded, but that's a whole other situation. For your situation getting started with the bike, don't push it over 55 much, and it will do better for you.
BTW, the speedometers are usually not very accurate on Bullets, so you might want to do some checking of your speedo accuracy with a GPS, so you know how fast you are actually going at certain speedo readings.