She can ask for whatever she likes, she doesn't have the power to get it. At a very minimum she will need to wait until after the next Scottish election (they've only just had one) and then win a majority, which she failed to do this time around, then get a referendum passed through the Scottish government, then approach the uk government that will be in the middle of EU negotiations, who have given the Scottish people a referendum in recent history and get them to agree to a referendum, then get them to agree a date for a referendum which given the political climate wouldn't be for a long time logistically. Then she would need to get the people to vote for independence based on a weaker conomic model and no guarantee of entering the EU at the end of it. It would be a very long process and is unlikely at every single juncture.
Whilst I understand the opinion you are voicing there is no basis for it to become reality, particularly in the short term.