All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His S lave and Messenger.
The first Hadeeth that you referred to was reported by Ahmad in his Musnad from Abu Sa’eed . He relates that the Prophet said: "Any Muslim who makes Du'aa' (supplication) that does not involve a sin or breaking ties of kinship, Allaah gives him one of three things: either his Du'aa' is granted immediately in this world, or it is kept for him for the Hereafter, or He repels from him an evil equivalent to that which he supplicated for." The Companions said: "In this case, we will pray much." The Prophet said: ''Allaah is more plentiful [in responding]."
The other Hadeeth you mentioned is the Qudsi Hadeeth which reads: “Allaah said ... and My slave keeps getting closer to Me by performing Nawaafil (supererogatory acts of worship) until I love him, and if I love him, I become his hearing with which he hears, and his sight with which he sees, and his hand with which he grips, and his leg with which he walks; and if he asks Me, I will give him, and if he seeks My Refuge, I will give him." [Al-Bukhari]
The fact that Allaah loves His slave does not necessitate that He will answer his Du'aa' right away. Also, the Hadeeth does not indicate that the Du'aa' will be answered quickly; however, that could be a factor for the Du'aa' being answered quickly. Nonetheless, the good does not always reside in the immediate answering of Du'aa'; rather, there may be good in it being delayed. A Muslim should pray and then put the matter in the Hands of Allaah.
Finally, it should be mentioned that wanting to have one’s supplication answered quickly may prevent the supplication from being answered. Abu Hurayrah narrated that the Prophet said: “The supplication of any one of you is answered as long as he does not say 'I supplicated but my supplication was not answered.” [Al-Bukhari and Muslim]
The scholars said: “It means that he gets bored and stops supplicating or feels that his supplication is taking too long to be answered.”
Allaah Knows best.