She knows the Heimlich she won't choke, not Daphne (farsick) wrote in caged,
Daphne is making much the same assumptions as Regina on this one, and so is prepared to pull a particularly large share of the work for the sake of keeping the project from turning into an unmitigated disaster.
She'll approach Regina after class as suggest that the two of them meet at least once without the other three in their group to ensure that the project doesn't become derailed by inappropriate additions.