I generally leave meat in a bowl of water overnight...it is not cold in my kitchen...to me..
60* is rather cool. I heard that leaving the meat in water reduces the chance of bacteria in the defrosting meat....well, I dont know!
We have never ever been sick after eating the meat.
Never leave meat uncovered.
I also generally marinade this meat for the BBQ by about mid morning and then let it sit in the fridge till about mid/late afternoon then take it out and set it on the counter to BBQ about 7pm. Never had any problems.
But there are two things to keep an eye on and one main thing to do:
1) That there is a cool area....mid-summer here is not an option in my kitchen.
2) The meat is very fresh when it is frozen and therefore defrosted. If one starts with slightly suspect meat to begin with then one is asking for trouble.
AND: press the meat firmly in with your finger, if it regains its shape fairly quickly it should be good, if it stays depressed it is going off.
However if there is a lot of fat in/on the meat do not leave it out for nearly as long. (And change the defrosting water at least once.)
My reasoning is this, and it is not scientific by any means....when we used to go out shooting we would hang the meat for a few days in the cool room.....never as low as 60* I'm sure....well hung meat is good....
So, although this well hung meat was cooked to death in those days some of it, like the fillets were not, and we never ever got sick.
I am sure your meat will be fine but do you know if it was very fresh meat to begin with?