MRD (mineral deposit remover) is non toxic (i think), bio-degrable, and i think unscented (at least i've never noticed a smell from it) and it's a fantastic lime scale remover, often better then the toxic lime scale removers suggested on here.
although vinegar and lemon have a fragrance i thought they don't have any perfume which is what's being asked. i can understand this request as i often have customers who say they react to any perfumes and tbh i find usually don't like the perfumes used in many products, even the eco ones. the issue with this clean is i bet the lady doesn't want to pay any extra for the request.
it's very possible to do a good eot clean using the products she has suggested on a house that isn't too bad. if it's say ex student then you'll most likely need stronger products like bleach to remove the mould.