In theory University is open from 8am till 8pm. In practice in the vast majority of courses lectures are till 5pm, and you might not have lectures or hospital placements at all around 5 as most are in the morning or early afternoon.
There is a childcare facility at University but only for young children, below age 4 (and if anyone is using that one, they need to book ahead to find availability). There are several facilities now that offer childcare for this age range. In summer though they offer a good programme for children younger than 11.
During the scholastic year the situation gets more complicated for older children as there are fewer options. There are two centres called Klabb 3-16 for children up to 16, one in B'Kara and the other in Fgura. You'll find details here
http://www.fes.org.mt/Klabb3-16/klabb316_home.html
San Andrea school offer an after school programme. I know children from San Anton school who also go:
http://www.timesofmalta.com/articles/view/20101017/education/after-school-programme-at-san-andrea-school
It is also possible to get a baby-sitter/housekeeper at a reasonable price.
Getting back to the original question on language, in Midwifery I assume you will have placements in hospital where some patients will speak mainly Maltese, and most people would speak Maltese on the workplace, but other foreign students manage, so it is not something that should discourage you. Just be aware of it.