There's no such thing as a UK Marriage visa. She can apply for a UK Marriage Visitor visa which allows her to marry in the UK but she has to return to Thailand. Alternatively she can apply for a settlement visa which means she can stay in the UK but for this you will need to meet the financial requirements (salary of at least £18,600, earned for 6 months before applying, or savings of £65,000). For this visa she would also need to pass the A1 English test, get a TB test and pay the NHS surcharge.
I've done it twice and I'm submitting my 3rd one next week. It's very straightforward if you have a genuine relationship, if you can show that you have enough money to cover the cost of the trip and, most importantly, there is a reason for the applicant to return to Thailand. The last one is the one that can cause a problem, if the applicant has no job or no property, and the sponsor lives in the UK.
Getting a UK tourist visa for your wife will only take around 2 weeks. She will have to submit the application and supporting evidence in person at VFS in Bangkok.