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Hi thanks for your question. Can you give some background. Where do you live? Why was your wife coming to the UK? Does she own a home in Indonesia? What ties doe she have that can demonstrate she will leave at the end of the trip.
The UK border agency is always concerned to ensure visa nationals will leave at the end of their stay so it is crucial to have evidence of ties to her home country. There is no right of appeal but if you can produce evidence then you can ask them to reassess or reapply.