Nope, I don't care at all. Because I'll breed with it and the ability kind of varies from one hatch to the next right? I have awesome dittos, so the female parents will be the ones to switch out when I'm going for a specific result. Right? (All of this is theory for me, since I'm not even far enough in my game to reach the Daycare.)
As a matter of fact it does, though you can increase the chance of getting the ability you want by letting the female breeding partner hold an Everstone.
The thing is, if your female parent has the Hidden Ability, it can pass it down to the offspring, but the offspring can also get one of the other regular abilities.
However, it doesn't work the other way around, if you have a female parent with a regular ability, you can't get the Hidden Ability for the offspring.
The Charmander I got for you will always give your offspring with the regular Blaze ability (which technically speaking is all it needs really).