Here is my reply from the other thread. Just to make sure you see it.
Google would like you to provide a sitemap because
- it's good practise
- they are a search engine so it helps them index pages with ease.
I really do not think AdSense will deny you just because you don't have a sitemap. You may as well create a sitemap anyway because it's good for SEO. Use this website:
http://www.xml-sitemaps.com/
Once your sitemap has been created, download the HTML version and the XML version. Now upload both of these files to your public_html folder. This may increase your chances of Google accepting your website

and it takes less than 10 minutes to complete to process.
It will take anywhere from a couple of days to a week to find out. It really depends on how many submissions they get. But they will always email you to let you know so do not apply many times if they haven't replied.