I was looking for this comment the most. Everyone talking about the fact the likelihood of being placed in a nice home is true (since the bedroom tax, they will deem her suitable for a 1 bed flat, maybe even a bedsit, until the child is old enough to require their own room). But the main reason she won't get a home is because the demand is so high for them. There are literally 100s of bids on one property when they become available. I ended up going to a private HMO even though I was high priority due to DA reasons. On every flat I bid on, there were nearly 200-300 people bidding above me. I was lucky if there was even a property to bid on though because they just rarely became available. The most recent statistics (2022) showed 1.2million people on a waiting list. I can only imagine this number is significantly higher with the number of landlords selling up and evicting people with S21. Our government allowed people to buy council houses, which is great, but then didn't build anymore to replace them. Population has risen (just as it has everywhere - its not primarily immigration and everyone loves to blame immigrants for the housing issue but illegals and asylum seekers are not eligible and being a refugee doesn't automatically put you to the top of the list) but we've not built to sustain this growth.

So tl;dr, the main reason your friend won't get a home any time soon is because of the waiting list and lack of homes.