There was a slight problem with WISE awhile ago. I queried them not showing international transfer on one occasion. Response was that they cannot 100% guarantee that it will show as International transfer (IT).
If it doesn't show as 'IT' I would suggest send it straight back from thai account to UK or whatever account via DeeMoney, then back via Wise again. Hopefully it will show as 'IT' then, as it did with mine. Timing is crucial though to get it to show during the month. Don't get stressed about it, we can't control everything.
To ride a bike legal in Thailand you will need a bike license from your home country along with a IDP. This will allow you to ride a bike here for your period of stay of 60 days. If you intend staying longer, then you will need to transfer to a Thailand licence as IDP can only be used for 3 months. Whilst here look at route for transferring to thai license.