We recommend a high clearance or 4WD vehicle. Dependants are unlikely to find paid employment. There are lots of opportunities for volunteer work. E.g. Red Cross, Hospital, Museum, Library, Animal Welfare. Supermarkets are well stocked, but supply can be patchy.
Taxis are expensive for everyone.
The drivers are not picking on you personally. Many expats bring pets . Inquire about quarantine. The preferred lifestyle for a cat is inside. The islands are recognized as rabies free.