Well, "woman" is a label as well. In your example, the sentence indicates causation. That the person suffering from schizophrenia pushed the woman due to complications of their mental illness.

When we experience something we immediately name it. It might be "that thing" or whatever, but we immediately label everything around us. Of course any label is only one aspect of anything and any extrapolation of a label creates an inaccurate image of said object.

For example, the woman in your example. By using the label "woman", we are immediately (or in my case) lead to believe this is a mature female, as "girl" is often reserved for less mature females. However we know that age and mental maturity are not necessarily linked so we've already made an inappropriate assumption just by referring to this person as a "woman"; that she is a mentally and physically mature person when that may not be the case.