first of all, you need to call the none emergency UK police +44 101 , create a crime number/log, then you'd contact missing persons hotline
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+44 116 000 plus her local news paper/embassy. I would also fully scan facebook for anyone who knows her, or any possible local facebook groups maybe if shes from a certain village/town. Seems odd for an 89 year old lady to be going around alone? (although she looks fit and healthy), you should also check Thai hospitals although that will be difficult without a Thai speaker plus which city.
The UK does deal pretty well with missing persons, after x amount of hours we generally will go all out and locate people, I think we say its 48 hours before the police will declare it a proper missing case and start scanning, then again as she is elderly that might be less.