Australian prime minister Julia Gillard praised Baroness Thatcher for her "strength of conviction".
She said: "Her service as the first female prime minister of the United Kingdom was a history-making achievement.
"Her strength of conviction was recognised by her closest supporters and her strongest opponents.
"I extend my sincere condolences and those of my fellow Australians to her family and friends."
More top news
The four-time Olympic champion said on Twitter: "I am not afraid to tell my story anymore."
Social deprivation and suffering from prolonged health problems were the main factors inflating emergency department attendance.
The hills are likely to see the most snow, with blizzard conditions at times too.