Ditto about not putting anything in the ear canal, ear wax is how your ears clean themselves out, and I also heard from a science professor that the smell of the ear wax is offensive to bugs so that they won't enter the ear.
When your child is older, while you are bathing your child, warm water will melt the wax and it will wash out. It depends upon the child whether they like their head in the water - very shallow so that it does not reach the face, just enough water so that it covers the ears while laying on their back in the tub. Keep ears in water for a little while to allow wax to melt and then be sure to get water out of ears afterward so that the wax will come out.
That's how I get my sons' hair wet to get ready to shampoo during a bath. They are much older than your daughter.
Do not allow water into ears of a child who has ear tubes or ear infections.
Pouring warm water down into the ear may end up washing the wax back into the ear which you don't want.
That's what I do, not sure what the medical professionsals would think of it.