Well of course, being that the other side of it is equating "meeting a man" to "being raped or murdered by a man."
In reality, 99.99% of the time in both cases absolutely nothing will happen, but that doesn't stir up fear and anger so it's less fun to acknowledge that.
You know how many bears I've seen in the woods in all my days out there? 4. Know how many men I've seen? Me neither, lost count somewhere in the hundreds (ok I never counted because it's such a common and trivial thing). In all those times, the bears kept eating from the dumpster and the men politely nod and keep walking. Ironically the bears eating from dumpsters are the more likely ones to kill people, and strangers are the least likely people to kill people (usually someone you already know), but still, nothing happened.