The straps on 6040 are very restricted stretch to provide freedom of movement. Most of the support should come from the "body" of the bra, not the straps. Judging from what you're telling me, it sounds like most if not all of the support is coming from the straps, because the body of the bra isn't doing its job.
It definitely sounds as if the band may be too loose, and the cups might even be too small. All of the breast tissue must be contained in the cups and the band should feel like a good hug around the torso so the bra can give you that super support that you're looking for.
c from mn
Goddess Response: It’s difficult to comment, as I don’t know which bras or brands you’ve been accustomed to wearing. This style may give a more defined silhouette than you’re used to, but if you’re in the correct size, the look is definitely not pointy.
Jennifer from Charlottesville, VA
I know, there’s nothing more annoying than the sides of a bra digging into the underarm. This bra is built for extreme support, so it provides very full coverage. Sometimes I’ll go down in the cup so the sides of the bra don’t come up so high under the arm.
jennifer from dunwoody/ga/usa
This style is one of our fullest coverage bras –so it will go up quite high under the arm –and the band is designed for ultimate support. You could try going down a cup size, for a less-covered feel. We offer other soft cup bras in Goddess which are medium coverage and they are pared down a bit, but these bras only go to an H-cup. Of course we’ll have more options in our under-wire styles: Usually an under-wire bra won’t need as much cup and band coverage to give the desired support, because the under-wire is helping out. If you are willing to try an under-wire bra, you might try Goddess Bra Keira 6090
which goes to an L-cup, or Goddess Rose 6080, which goes to a K-cup.
Jennifer from Atlanta/GA/USA
Goddess Response: If the cups are too small to encompass all of the breast tissue, the look can be ‘pointy’ so all you need to do is go up a cup size to 40J. Sometimes if you go down a band size, and up a cup size, it can do away with that pointy look, and give a more “custom” fit. You could try a 38K.
Christine from Jamaica,NY