Julia Gillard, Dame Sheila Hancock, Tree Climbing Champion and Abortion in Hungary

Dame Sheila Hancock tells us about her memories of the Queen. Just short of 90, she has lived her life in parallel. Earlier this year she said: "throughout my life, I have been grateful for the Queen's reassuring presence."

Julia Gillard, former Australian Prime Minister – and the only woman to have held that role – speaks to Emma about the death of Queen Elizabeth II, and her status as a global female leader. What will it mean for Australia, where King Charles automatically became Head of State last week? The current Labor government there led by Anthony Albanese has previously indicated it wants to hold a referendum on whether to become a republic, though Prime Minister Albanese said on Sunday that “now is not a time to talk about our system of government”.

Josephine Hedger has just become the female World Champion Tree Climber – for the fifth time. She joins Emma to chat why she loves braving immense heights at speed – and how it feeds into what she does for a living.

Today marks a significant day for women in Hungary. The government has tightened abortion laws in the country, meaning women who want to get an abortion will have to listen to vital signs - such as the foetal heartbeat - before being allowed to proceed. The Prime Minister Viktor Orban has long sought to boost Hungary's flagging birth rate and his right-wing government prides itself in standing for traditional family values. Nick Thorpe, the BBC's East and Central Europe Correspondent explains how the law has changed.