Janet is mentioned multiple times in Judy's Directive dialogue.
Crossword Crisis
Judy: "Please tell me you got those puzzles. I desperately need something to pass the time around here."
"You did?"
"Thank you so much! These will come in handy!"
"Hmm..."
"A four-letter word that plays before a message is recorded... I'll need to think about that."
"Maybe I'll ask Janet what she thinks."
Needle Nonsense
Judy: "Here's what I need: I need you to get me some spare needles."
"I was talking to Janet--do you know Janet? No?"
"Aw, well, I was talking to Janet, and she was telling me that she heard from a friend who heard from another friend..."
"That Jewel has a crush on one of the Cashbot vault guards!"
"I was so focused on this conversation that I carelessly broke my knitting needles in half."
Docket Dilemma
Judy: "It looks like you got some promotion papers here to sign. You can borrow my pen."
"If... I knew where I put it."
"Oh, that's right. Janet stopped by not too long ago and needed to use my pen. I guess she forgot to give it back."
"Yes, Janet. That Sellbot secretary always visits when she has the latest gossip."
"You remember those Bottom Feeders that kept asking for my number?"
"When I told the other secretaries this, it was her idea to give them a Telemarketer's phone number."
"Quite clever, isn't she? Anyways, there's your gossip of the day. As for the pen..."
Judy: "A... pencil?"
"Yes, I did say 'writing utensil', but I was meaning a pen. All legal documents are signed with a pen."
"Maybe that Mingler still has it. Why don't you fly over to Sellbot HQ and tell her Judy sent you?"
Trivia
Like all of the other secretaries, both Janet's first and last name begin with the letter J.
It's believed that Janet will be a Mingler, as Judy refers to her as "that Mingler" in the Docket Dilemma Directive.