Start where the cover is closest
An escaped rabbit's first instinct is not to explore but to disappear, and she will normally be under the nearest shed, decking, dense shrub, or stored garden clutter rather than across the neighbourhood. Begin there, moving slowly and speaking in the voice she hears at feeding time, and check each hiding place fully with a torch before disturbing it. Note how she got out as you go — a lifted latch, a chewed corner, a gap under the run — because that same opening is where she may try to return, and where a trap or pen can later be set.
Searching without driving her further away
Rabbits are built to flee from pursuit, and a garden full of running, shouting people teaches an escaped rabbit only that the open is more dangerous than the hiding place. Work as a small, quiet team: spotters standing still at the edges and exits of the garden while one person searches, each spotter watching for the flash of movement that shows she has shifted cover. Block the gaps under gates with boards early, keep dogs and cats indoors, and pause often to listen for rustling or thumping beneath structures rather than constantly crashing about above them.
Catching a rabbit that will not come out
Cornering and lunging at a rabbit risks broken bones and a bitten, panicked animal, so guide her instead. Set her own carrier or a puppy pen arrangement at the opening of the hiding place with hay and a favourite food inside, and wait quietly for hunger and familiarity to do the work, or gently herd her along a fence line into the pen using boards held by helpers as a moving wall. A large soft towel placed calmly over a rabbit that has frozen in the open can allow a careful lift, supporting her hindquarters immediately, but repeated failed grabs should stop in favour of the pen-and-patience approach.
If she has got beyond the garden
Knock on the doors of gardens backing onto yours straight away and ask neighbours to check under sheds, decking, woodpiles, and parked cars before moving vehicles, since rabbits squeezed under a car are easily missed. Leave her carrier, bedding with her scent, and food near your own boundary gap, and search again at dawn and dusk, the hours rabbits naturally become active and may move between hiding places. A rabbit recovered after time outside should be checked for injuries, flystrike in warm weather, and gut slowdown, with a veterinary visit if she is quiet or not eating.
Help from beyond the fence
Every hour outside adds risk from traffic, dogs and predators, so extend the search past your own fence line early instead of hoping through another day. Lost Pet Alert System via KinsLe places her profile in the map view without charge, and the person who spots her sheltering under decking can reach you by direct message while she is still there.