The omega only drew around a 100 mili amps well under the regulators 800.
Although the voltage regulator is rated for up to 800 milliamps. That is ONLY when it is sufficiently cooled down. E.g. Heatsinks.
I wont mind if it got hot
The voltage regulator, will automatically shut down, if its internal temperature, reaches around 125 deg C (maybe a bit higher).
I'm not clear what type of package your regulator is in. How much current (maximum) is the voltage regulator seeing ?
100mA is mentioned, but is that the maximum you are giving it (i.e. using on the output terminals) ?
Any heatsinking on it ?
You seem to be running it at 12 Volts so it has to dissipate any voltage drop across it as heat (12V - 3.3V = 8.7V). The higher the current, the hotter it will get, until it automatically shuts down when it gets too hot.
(Voltage drop across regulator) x (output current) = power dissipation of voltage regulator