I read these ayahs of Quran and found them truly amazing.
(43:18) Do they assign to Allah one who grows up amidst ornaments and is not well-versed in the art of disputation?
I personally think these two reasons can also be taken as to why Allah SWT didn't choose women as prophets.A prophet should be physically strong enough to face the hardships in the way of dawah.People threw stones and boiling water at them,killed them.They had to travel alot night and day,they had to face hunger,loss of families,they had to went through severe tests from Allah SWT and no matter how painful the condition was for them,they show patience and spread the message of Allah SWT in the best possible way.No loss,no fear,no torture stop them to spread the words of Allah SWT.
Can a woman go through all these hardships and fulfill the responsibilities of Dawah?