It's easy for him to follow her presence, even if she'd tried to hide her location. (But he's glad she didn't.) Obi-Wan comes to a stop just in front of and beside her, before crouching elegantly and offering her the cup.

"Unless you wish me to stay, I'm going back in to meditate. Don't worry about interrupting me, it's... more just a way to greet the day, than any real need for it."

Of course, he wishes she would tell him to stay, but he's fairly certain that won't happen. Not now, this time, at any rate.