A women's empowerment programme is trying to get them out before they're killed or married off to Taliban fighters.
A list of cabinet posts announced by the Taliban made no mention of a women's minister.
The US military said a drone strike in Kabul last month killed as many 10 civilians, including seven children, and it apologised.
"Basic services are collapsing, and aid is running out."
The Taliban have denied that one of their top leaders has been killed.
"Sharia ... does not allow men and women to get together or sit together under one roof."
Strict dress rules will apply.
Andrew Patterson says the Government kept offering to evacuate him - but he couldn't bring himself to leave just yet.
"It's tragic beyond words that... we're pretty much back at ground zero again."