Nanophotonics achieves accurate control over the luminescence properties of a
single quantum emitter by tailoring the light-matter interaction at the
nanoscale and modifying the local density of optical states (LDOS). This
paradigm could also benefit to F\"orster resonance energy transfer (FRET) by
enhancing the near-field electromagnetic interaction between two fluorescent
emitters. Despite the wide applications of FRET in nanosciences, using
nanophotonics to enhance FRET remains a debated and complex challenge. Here, we
demonstrate enhanced energy transfer within single donor-acceptor fluorophore
pairs confined in gold nanoapertures. Experiments monitoring both the donor and
the acceptor emission photodynamics at the single molecule level clearly
establish a linear dependence of the FRET rate on the LDOS in nanoapertures.
These findings are applied to enhance the FRET rate in nanoapertures up to six
times, demonstrating that nanophotonics can be used to intensify the near-field
energy transfer and improve the biophotonic applications of FRET