To me, it sounds like you maybe underpitched or pitched older yeast if you haven't seen any signs of fermentation yet. Though, in all honesty 5 hours is a pretty short time to know. I'm happy if the yeast are working when I check on the beer the morning after brew day.
I also think that the temperature you're fermenting at is more important than the temperature you pitched at, though it's not best practice to pitch into warmer beer. If you're fermenting in the 60s, I think you should have no worries. If you're fermenting in the 90s, you will get lots of hot alcohol and other unpleasantness.