Founder @BambooBot, Built and sold both a Website Design Agency as well as an SEO Agency.
A decade in the industry, I will provide insight and offer advice based on experience.
a search in Google of:
shows that your website is "indexed" or Google has crawled your site and added it to it's list. This is good.
In order to give you an exact reason why your site isn't showing up I would need to run an audit and take a look. There are so many different various reasons why you aren't showing up it's hard to answer in such a genric forum.