What is the main idea of the poem The Lovesong of J. Alfred Prufrock?

The poem centers on the feelings and thoughts of the persona, J. Alfred Prufrock, as he walks to meet a woman for tea and considers a question he feels compelled to ask her (something along the lines of "Will you marry me?"). In fact, in this poem he never arrives at tea, let alone sings to the woman. The poem is composed of Prufrock's own neurotic-if lyrical-associations. Indeed, over the course of the poem, he sets up analogies between himself and various familiar cultural figures, among them Hamlet. This establishes a connection with Hamlet's famous soliloquy ("To be or not to be? That is the question"). Prufrock's doubt that he deserves the answer he desires from this woman transforms the poem into a kind of interior monologue or soliloquy in which "To be or not to be?" is for Prufrock "To be what?" and "What or who am I to ask this woman to marry me?"