Red Hot Pawn and its sister sites redhotchess.com, chessatwork.com, timeforchess.com and playtheimmortalgame.com, are mainly "turn-based" chess. You make your move at your convenience, then when your opponent is next at the site they make their move, and so on. If you want to play through a game with an opponent who stays on the site with you until the game is finished, you use the Blitz option in the top row of headers to find the opponent and play out the game as if it was a live game.
Some people on the site only play turn-based, others only blitz, others both. You choose.
Contacting an opponent can be done in the game only while it's your turn - you make your move, type your message in the "message opponent" popup box, and only then click Submit Move. While the game has "opponent's move" status you won't see the "message opponent" option. If you want to send a message at that time you can use the private message system (go to the opponent's profile page and click on Message, or click on the greyed-out Messages symbol on any page).
Your greeter coquette is US-based, so you can figure out when she's likely to be available for multiple moves. I'm based in Australia, and by my clock Americans disappear around 2pm and Europeans start appearing around 5pm, so I don't expect to move during my afternoon period.