From this poem, I can feel the passion of this man, the speaker, and how much he admired the coy Mistress, the listener. However, when I re-thought the title of this poem after I read the whole poem, I had the opinion as follows:
I thought the Mistress might be a woman having power and a fortune. She might be a queen of a kingdom, or a lover of a king or a duke, and she knew that the speaker liked and adored her before the speaker wrote this poem but she did not accept him because of her high social class and authority. She might be touched by this poem and have relationship with this man but their relationship might be continued privately because the Mistress wants to keep her position.