What is randomly preventing starting the engine until waiting 10 minutes?

What is your question?

I love my little Colorado but HATE being late for important meetings, work, emergencies, because of these random 10 minute delayed engine starts! It may go from a couple times in one day to once a month, and sometimes seems to be a sequence of certain opening procedures, while other times will simply be a routine get in and go! I'm baffled... My wife is afraid to drive it in fears of getting stranded somewhere and then being panicked for being helpless as she helplessly waits 10 minutes for it to start! If it was suppose to be a "safety feature" or a "theft deterrent" it will also soon be labeled "A Lemon". Can anyone help me fix this "good little Truck"?