If Abu Bakr was so great, why didn't he get any of the alleged daughters of Rasool (saww)?
If marrying a daughter of Rasulullah shallallahu alaihi wasallam equals greatness then will you say uthman RA greater than Ali RA?
Nope, because Fatimah (as) is said to be the leading woman of Jannah, and those alleged daughters of Rasool (saww) are disputed.
Even the Prophethood of Muhammad(SAWS) was disputed among human beings, The believers accepted it, but the Kuffar rejected it. So in the case with the three daughters of Prophet(SAWS) those who respect the children of Prophet(SAWS) believed in it, but the veiled Nasibis(Rafidah) rejected it. And those hidden Nasibis who reject the biological daughters of Prophet(SAWS) have indeed hurt them.
A Sahi(authentic) narration from shia book:
محمد بن يعقوب عن علي بن ابراهيم عن ابيه عن ابن محبوب عن علي بن رئاب عن عبد صالح عليه السلام قال، ادع بهذا الدعاء في شهر رمضان مستقبل دخول السنة
. . .
اللهم صل على القاسم والطاهر ابني نبيك، اللهم صل على رقية بنت نبيك والعن من آذى نبيك فيها، اللهم صل على ام كلثوم بنت نبيك
(source)
Muhammd b. Ya’qub from ‘Aliy b. Ibrahim from his father from ibn Mahbub from ‘Aliy b. Râ’ib from Abd Salih (peace be upon him) he said: Call with this prayer in the month of Ramadan in the future with the entrance of the year: O Allah send your blessings upon Qâsim and Tâhir sons of your Prophet, O Allah send your blessings upon Ruqayyah daughter of your prophet and curse those who hurt your Prophet through her, O Allah send your blessings upon Umm Kulthûm daughter of your Prophet. [Tahdhib al-Ahkam, Vol. 3, Pg. 106-122]
For more details:
https://youpuncturedtheark.wordpress.com/2010/10/11/how-many-daughters-did-prophetsaw-had/If Abu Bakr was so great, why didn't he get any of the alleged daughters of Rasool (saww)?
Because Abu bakr(RA) was already married. And Prophet(SAWS) married his daughter to those who remained monogamous. This is the reason Prophet(SAWS) asked Ali(RA) to leave Fatima(RA) when he wanted to marry the daughter of Abu Jahl.