My friend's daughter works for our local council in supporting the homeless.
We discussed this today and she said that in our area, and all areas she's aware of, they absolutely always find accommodation for pregnant women and those with children.
No ifs, no buts. ALWAYS. No woman who approaches them, or whom they're made aware of, in those circumstances is ever left on the street for even one night without the offer of accommodation.
However they won't always accept the help. Not so much the ones with children - because the support team will intervene with SS, and even police, immediately if someone attempts to make children sleep rough - but pregnant women do sometimes refuse help.
There is far more to this story than is being considered on MN.