oooch! sorry you got bit! yeah... i def think a bunny burrito wrap is a bit of a learned skill. lol.
try this... have towel spread out on a counter so that the burrito wrapping will be easier at waist level & then go pick up bunny. put bunny down so her head is towards you and at the front edge of the towel. then swiftly and at the same time both press her head down gently with one hand and fold the back of the towel over her with your other hand so it is snug behind her bum and she has the edge up at her neck. when you bring the towel over her from behind it helps to hold it snugly at her neck with your pinky finger & thumb while the palm of the same hand is over her head. this way she can't back out of the towel and you have her head secure. then you can wrap one side of the towel over the bun sideways with your free hand, and hold it at her side.
another good reason to do this at waist level is that if, at any time your bunny struggles and is really kicking, you can calm her down by bending over her and covering her. my vet does this to calm my bunnies down when the wriggle. she just sort of hugs them & leans over them so they are surrounded by her arms & belly and the bunny's paws are still on the counter until they stop wriggling. gently talking to bun & saying out loud what you're doing in a calm voice will help too i think.
keep trying ... eventually you'll get the hang of it. good luck!