No matter which parent stays home with a sick child, this can be a problem for the people you work for. I think 12 days over a year is kinda a lot to miss, and your boss has a right to expect his employees to show up just like your husband's boss does. From your point of view, it's just a job to give you something to do and pay for extra stuff, so it's not all that important compared with your daughter. But looking at it from your boss's point of view, he didn't hire a mom, he hired an employee to come to work and do what he needs done, and when you aren't there, he has to quit whatever he's doing and make other arrangements. Since you are the one who needs the help, not him, you should be the one making other arrangements. So you either need a job with flex time or part time working from home, or you need backup child care.
As a mom, I say my child comes first, but as an employer, the company comes first. You can't quit being a mom, but your employer can quit employing you. So whether you think he's right or not, you've got to find a back up plan, and having her dad stay home isn't a good one, either. What if he's really sick and needs his sick time, or what if you are? You need sick child daycare.