Since Szayel was careless, he will be responsible for stitching up your leg under my supervision after the fight is over.

[No, she's not letting Luppi out of fighting, but she's also not absolving Szayel of responsibility.

She's rather tempted to knock both of their heads together for bickering like this when they have more important things to worry about, but Ulquiorra will be better at deterring their childish behaviour than she will.]