Thawing different meats
When it comes to "is it safe" questions it is difficult to give you a simple, direct, reliable answer...most often (as is the case here) you can't provide all of the information needed to 'give you a straight answer' (which is, of course, what you really want). 

If the meat was 'safe' to begin with, if it was just left in the sink with cool water and ice overnight (~8 hrs) and if it is still cold to the touch...it is "probably" perfectly safe. 

Then comes the question of "What is 'safe'?" Will eating this meat 'kill you'... highly unlikely. 
Will you want to remain near a toilet for a day or so? 'possibly' (but still very unlikely). Will eating this contribute to a stroke in 20 years? Your mileage may vary.

It is highly unlikely that this method of thawing has introduced any significant risk to your meat.