How get users who tweeted my website?


Tell me please what function (statuses/retweets_of_me, statuses/user_timeline, …) I must use


This is currently not possible in a reliable way. You could probably use the streaming API filter endpoint but if a lot users tweet your website, you will only get a few of them.
The search endpoint which can also be used will give you historical data but only up to two weeks of recent Tweets so it is very unlikely that this helps either.