Assume that the BO woman was really Vermouth talking, then why did the phone call even lead to her in the first place ? That's not her profession, was it ? Wouldn't it be more suitable if the one to answer the phone was Tequila, or anyone who's in the software division thingi ? What did Vermouth have to do with that program ?
Assume that Tequila was out somewhere, and Vermouth just happened to be near his phone by chance, so she answered it. But that doesn't explain why did Vermouth even hang out at Tequila's place, while she was supposed to be Sharon at the time. And yeah, that crazy "cat noise" doesn't lead anywhere either...