It shouldn't really taste burnt that fast. I would have done the same thing and cleaned it out if mine tasted funky though. Easiest thing to do is blow it out and dry burn it from there.
All you need to do is keep holding the button down to turn on the atomiser for a while until you see the meshy bit inside the straw is going red. Keep it glowing red for a bit and gently blow down the straw. Somewhere between 15 - 30 seconds should be ok. You can repeat it a few times once you give it time to cool. It's the easiest cleaning method I think.
What I would suggest though is that it might not be that the atomiser is burnt so much, more that it's not wicking
juice too well which is a common problem with Ego T's. There's a few things to try out.
Try not to let the
juice get too low and also don't overfill the cart.
Sometimes bubbles form around the straw/wick so just pop the cart on and off to free it up.
Suck through the mouthpiece without turning the ecig on a few times sharply to draw juice into the wick.
Once you've cleaned it you'll need some time for the juice to soak into the atomiser for the first time again so make sure you give it enough time. Leaving it upright can help it wick pretty well.
Use less vg if you can in the tanks, higher pg content wicks far easier.
There's a few other things you can do like push the wick down or make a small hole in it but they're kinda drastic and a last resort kinda thing. Dry burn it, refill it and see how it goes.