Answer in brief
Diet does look like it matters, and the clearest signal is for ovulation. In large cohorts, women eating a whole-food pattern with vegetables, whole grains, plant protein and fish had much less ovulatory infertility. None of that is proven: no trial in the evidence reviewed here establishes that a personalized plan improves conception. What personalizes your plan is whether you ovulate regularly (polycystic ovary syndrome, or PCOS, is the usual reason not), your weight, your age, and any medical condition. Diet shouldn't delay fertility care.