The child could be teething, but if you are driving for 90 minutes with a sick baby, and then you decide to take her to a public daycare and expose her to germs, well, then thats disgusting. Just because the child was teething does not mean she was automatically sick, and if my child wasn't pacified after 90 minutes, there would be a drive to a hospital, not a gym so I could selfishly get my cardio in.
There are many ways to parent. I followed the old fashioned way and it worked out well for me. My daughters race their kids to the doctor and they're always sick - I think they catch it in the doctor's office sometimes. I can't put Terri down for not running to the doctor or the emergency room. If the baby was teething it would have been rather pointless, expensive, and would have taken time away from a possibly sicker child.
But, this is just my opinion, and each must do what they must do.