Sexual selection is the most important part of natural selection since without it the other traits never even get the chance to be selected for or against.
You apparently do not understand what fitness means in the context of natural selection.
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Hypergamy only selects for things women like, not things that may or may not be useful.
Sexual selection is only 1 part of natural selection, and in fact is usually less important than environmental pressures. This is why the guppy example is good, b/c it illustrates that sexual selection is often at odds with or in balance with environmental selection. When environmental pressures are removed, fischerian runaway can occur, which is the worst case of unchained sexual selection.
Discussion
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No, I think basic survival is the most important part as you can't even get to the sex phase if you die. No biologist would refute this point. Sexual selection can also be a detriment to natural selection. An example is fischerian runaway: https://en.wikipedia.org/wiki/Fisherian_runaway