You'll be fine, even using an inverter.
Don't leave is plugged in with the engine off for a long period of time.. especially if you have a tiny car battery or if it's really cold, outside.
If you're going to be sitting in traffic jams idling for a long time, pop into neutral every 20 minutes or so and rev the engine up around 1300 rpm for a couple of minutes (same thing if you're just sitting parked somewhere)
I use to use my exes laptop in her car all of the time.. got a $30 inverter that also had an fm transmitter so the sound from the laptop would come out through the car radio.. think it was 100w or so.. only thing it hated was her curling iron.. LoL over here... the little fan in that thing went crazy!!! Lucky it didn't burn it up, because I think curling irons are around 400w
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