A full reading for Rooster Γ Gemini meeting Rat Γ Taurus is on the way. In the meantime, the score above is computed from the canonical element matrix and sign-cycle distance, and the profiles below cover each side individually.
Mutual respect can be a tricky balance to achieve in any relationship, but for the Rooster/Gemini it's more difficult than for most. While you despise weakness in your lovers and absolutely cannot tolerate any clinging dishrags, you also can't stand being ordered around like a galley slave -- your Gemini's reasoning being that if you wanted things that way, you'd enlist and at least get paid for your servitude.
The key word with you is loyalty. No one will ever be able to pull the wool over your eyes -- you'll see through them like cellophane every time. Combining as you do the unflappable calm and rock-solid strength of the Bull with the Rat's nervous intellect, you are a living testament to the efficacy of strategy, in love as in business.