Hi Grownative. I don't think it matters. In my own experiences growing citrus in containers, some flowers drop on their own, as will fruit. Apparently only 2-4% of the fruit remaiin on trees. Toni

dittos.
and enjoy the blossoms as they are a wonderful part of growing citrus

hopefulauthor and softmentor,

Thank you both for the advice. I originally got the lime tree for the fragrant leaves and blossoms, not really caring whether I ended up with fruit or not. Now I enjoy the fruit as well. I'll defer to the tree's natural wisdom in dealing with the blossoms and subsequent fruit.

Grownative, good luck..and like Softmentor stated, enjoy the fragrance..there's nothing as sweet-smelling as Citrus flowers.
Just last night, a member from Gw phoned..we discussed fragrant flowers. She brought up Gardenias, which are very nice, but IMO, nothing beats citrus. Even leaves have fragrance, lemony, etc.
Jasmine is second to citrus, closely related smell. Murraya is another that will scent up a room.
Yep, since you have a lime, might as well enjoy its fruit, too, either as an edible or ornamental..Toni