...To say that Corinna's is "a far better poem" because it is "sweet" is to critique on the basis of subject matter rather than execution; without making any claims for my own poem, I think we can agree that there exist good poems-- even good erotic poems-- that aren't sweet.
Listen, I'm not about arguing with poets who I think care about poetry. I couldn't really give some massive critique of your Galatean poem, however I could make minor points, place it against Corinna's. I don't want to have to say 'I believe' or 'In my Opinion' every time I write something, but my belief is the reason your poem doesn't come across as well as Corinna's is because love itself is a submissive act. Dominant poems are almost always from the solipsistic pov, they still need to have that bit of personal submission found within every instance of Love. Technically I don't like the phrasing of your poem, but that's something totally different.
There's nothing wrong with competition, makes for a better poet. If I place you in competition in a critique it shouldn't matter to you, how you view your poem and your relationship has nothing to do with me. Now think about this, I figure those two poems come from the same poet, so the poet is competing against themself. It doesn't matter to me if there are two poets or one, there are two different poems in a relation and each can be critiqued differently.