Dear Br Ahsan Sarosh,
a. Do you mean Sister Dr Aisha Musa on the link given by Br Mubashir?
b. You have come up with some good questions on Hadith. I will copy-paste them right here from your post in a clear manner without making any linguistic corrections.
(1) If the Hadith is so important why was it not got recorded by the Prophet during his time ?
(2) Why were all the Ahadith collected by Khulfai Rashadeen & Sahaba were destroyed?
(3) While all Arabs were not particular about these narrations why was it taken up by so many Ajami ( Non Arab) scholars?
(4) Contradictions, narrations about our Prophet, Foretelling attributed to the Prophet ,( while the knowledge of future is only with Allah none else) have been written down which are confusing muslims. Finally it is enough if we follow QURAN .
[Edited by Dr Shabbir for clarity but without making any linguistic corrections]