Hello Karela, since your website is new, it will take time for it to get indexed by Google, Bing and other search engines.
One reason is because the search engines don’t immediately give a lot of credit to brand new websites since it would be easy for people to try and game the system by creating websites overnight and pointing to other websites.
My recommendation is to follow some of the tips offered by others by checking your website with Google Webmaster Tools. If you’re actively blogging on your website, make sure you log into Google Console (webmaster tools) and have them fetch your site and newly created post. This will let them know you created a new article.
Also note that while the search engines do a good job at indexing websites, they visit every website at different times depending on the popularity of the site.
Established websites can get visited several times per hour while new websites will get visited maybe once a week or less. That’s why Google Webmasters Tools aka Console is important along with sharing your articles on all the social media platforms you’re active on. Don’t spam the social sites but do add relevant links to groups, pages and your profiles pages.
Blog often, at least twice a week and focus on creating quality content.
Hopefully this helps. Good Luck.