Most the Jedi weren't so physical in affections, and that was something that Ahsoka had grown up in, but Anakin was a hugger to a point and Ahsoka was as well. She had already done the same thing to Padme, reaching out to abruptly hug her.

Yet having Master Kenobi do the same was surprising, and more than welcome. Her arms looped around him and she sank into the hug a bit more then she should, but it felt good. He's alive. That felt amazing.

"And here I thought I'd never see you again myself. First Padme and now you." Dead to her, as she didn't know Obi-wan just went into hiding.