According to Surah Tawba, Ch.9, Verse No.71, ‘The men and the women they are friends (supporters) of each other’.
Supporters not only Socially - even Politically – Politically, men and women should support each other.
Women can even take part in law making.
And according to the famous Hadith in which Hazrat Umar (may Allah be pleased with him), he was discussing with the Sahabas, and considering putting an upper limit on the ‘Meher ’, since young men were discouraged from getting married - a lady from the back seat she objected and said When the Qur’an says in Surah Nisa Ch.4, Verse No.20 that… ‘you can even give a heap of treasure, a heap of gold in ‘Meher’, when Qur’an puts no limit on ‘Meher’, who is Umar to put a limit (may Allah be pleased with him).
And immediately Hazrat Umar (peace be upon him) said… ‘Umar is wrong and the lady is right’.
Imagine, she was a common lady - If it would have been a famous lady, the name of the lady would be mentioned in the Hadith.
Since the Hadith does not mention the name of the lady, we can understand that the lady was a common lady.
Means, even a common lady can object to the ‘Khalifa’, the head of the state.
And in technical terms it would be called that – ‘she is objecting to the breach of the constitution’,- because Qur’an is the constitution of the Muslims - That means a woman can even take part in law making.