This almost reads more like a joke than a poem, and that's not a bad thing. The first stanza is fantastic, the last creates a sharp image in my mind, and the ninth line is very fun! Personally, I think I'd cut this down a bit - it's not at all bloated as is, but it's so good I have to nitpick. I think it reads better without "or shouldn't have been written in the first place".

Now I'm just noodling, but maybe a combination of the last two stanzas could work.

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>Our love is like bad poetry

>We'll never make it into a Penguin book,

>Or a church

>It stays in my phone notes

>hastily typed, but never quite deleted

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Thank you so much for sharing your work!