For me it's two simple questions.
Do I believe the goverment has my best health interests in mind?
or
Do I believe the goverment is ruled by the almighty dollar like most of the population?
Nuclear energy is also "safe", that still doesn't mean I'm going skinny dipping next to 3 Mile Island. 
You are correct about the government and money. Pink slime makes food "safe" because it kills the bacteria in the meat, and also makes the meat not go bad for a very long time. The most common use of pink slime these days is in the meat that goes into school lunches. Since many school lunch programs are government funded, using meat produced with pink slime is an effective cost cutting measure.
My father worked for the city of new york and he got to see some of those cost cutting measures first hand. trying to negotiate it made him ill and finally he had to quit.
