Are Angels more accessible than Jesus? Why would one choose to pray to an Angel or a Guardian Angel over Jesus at times?

Some people notice that their prayers are answered on some occasions more readily from an Angel or Guardian Angel. Could it be that Angels are sometimes more accessible than Jesus or more specialized for certain tasks?

Why would this be? Since I can't imagine Jesus is busy at times nor can I imagine that he is incapable of anything.

So would this mean that it be His desire for us to form a relationship with the Angels for some reason and if so why?
Worshiping the Angels is condemned by the Bible. Colossians 2:18 says "Let no one disqualify you, insisting on asceticism and worship of angels, going on in detail about visions, puffed up without reason by his sensuous mind". So we can not accuse Catholics of Angel worship. The actual term used by the Catholics for Angels and Saints is veneration (Dulia in Greek). This point is reiterated by the Catholic Church over and again. Catechism of the Catholic Church mentions that "In the meantime, the whole life of the Church benefits from the mysterious and powerful help of angels" (Part One :The Profession of Faith, Section Two, Chapter One,Article I,Paragraph 5, Verse 334). So the Bible prohibits Angel worship and the Catholic Church says that it benefits from the Angels. 

How can we understand this? The Angels have a mediation power. They are requesting to God for our cause but do not have the ability to interfere with the decision making process of God. The need for such a mediation arises from the fact that humans who are sinners and imperfect are not worthy of direct contact with God. We better channel our requests through a mediator who at least had a vision of God. The mediators are themselves imperfect and not at par with God in any way. But at least such an attempt looks more humble.