It depends on the circumstances. In some cases, when guarantees are made and those guarantees are broken, you can sue civilly to be made whole (in a context like this where there was no bodily harm, merely an opportunity missed).

It's real unlikely any such guarantees were made. To do so would be extremely foolish for several reasons (the false-positive rate of spam identification is known and emails can fail to deliver because of an error at either end of the transaction).

You can't sue someone (and win) for "this person did something that I don't like". You only have a case if you have a contract with them that lays out specific duties, or if they are otherwise a fiduciary of some form. Unless you signed a contract with microsoft for them to deliver your mail, they have no obligation to do so.