Analysis on her loving two equally?

From what i deciphered from the poem it is about a girl who loves two men, Damon and Alexis (is that a girl?). Each lover seems to empower the other. When she is with one, she yearns for the other. "When my Alexis present is, Then i for Damon sigh and mourn, But when Alexis i do miss, Damon gains nothing but my scorn". She seems to be calling for Cupid in the last paragraph, telling him to pick one for her. The last paragraph confused me a little. She possibly could also be cursing Cupid for making her fall in love with two people at once.