Are you refering to
a cow?
I like the grass, I like the dew, I make a sound that sounds like you,
Mooh! .. and obviously cows like grass
I'm the horned god of the east, Though not one that upsets a priest,
I guess there are lots of cows in the east? Dont knot about this one tho..
Thanks to ROAL / Inazuma for reminding me of the religious aspect of the cow in India
Also thanks to the OP for hinting towards the Horned God
It's not too rare if I am blue, Otherwise too tough to chew,
refering to Cordon Bleu maybe?
Thanks to Inazuma for the hint!
A 'blue' steak is basically a raw steak, much less cooked than rare.
A mighty thundering meat beast, I'd rather not be at the feast...
Not sure about this one too
Feel free to edit / suggest something if you know more than me ;)