Beth gets a hold of his sleeve, but it's not enough to haul him up from where he's leaning aggressively back against the tree trunk. Trust Daryl to find a way to lean aggressively. "We're not talking about me. Besides, if this place goes to shit and you're still sick, you're not gonna be able to run."

And just because she could leave without him doesn't mean she would--not unless there was really no other choice. She pulls at him, shifting her grip so it's more than fabric and putting as much back into it as she can. He's so much heavier than her, but he's also obviously ill. It's a coin toss, whether she can get him to budge.