What cocktails can I make with lemongrass vodka, chamomile tea-infused vermouth, sherry wine, elderflower, and key lime acid?

It sounds like you're looking for a cocktail with a sophisticated and floral profile, mixing lemongrass vodka, chamomile tea-infused vermouth, sherry wine, elderflower, and key lime acid. While we don't have a cocktail that matches your specific ingredient list exactly, I can suggest a few that might come close to the flavor profile you are envisioning.

One standout option is the Elder's Last Word which has a high rating of 4.5/5. This cocktail combines gin, elderflower liqueur, yellow Chartreuse, and lemon juice, creating a delightful and complex flavor that's both floral and citrusy. The elderflower element aligns with the herbal, floral notes you'd get from chamomile, and the citrus balances it beautifully.

Another notable cocktail is the Bitter Elder, rated 4.31/5. Featuring gin, elderflower liqueur, Campari, and lemon juice, this drink offers a sophisticated balance of floral, bitter, and citrus flavors, making it a refined choice with depth and complexity.

You might also appreciate the Liberation at 4.24/5. It includes gin, elderflower liqueur, lemon juice, and a dash of Creme De Violette, bringing in a subtle floral undertone that could resonate well with the chamomile aspect you’re looking for.

While none of these options include sherry wine or key lime specifically, they each possess a balanced mix of floral, citrus, and complex flavors that might provide a similar experience to what you envisioned. You might even consider using these recipes as a base and experimenting by incorporating sherry wine or key lime acid to get closer to the exact profile you desire!