After the women sang Saul was very angry and frightened that he was going to lose the kingdom to David because they spoke highly of him.
Had they not sang in such way maybe David would still be able to keep serving Saul but as it is written : "So Saul eyed David from that day forward." (I Samuel 18:9 NKJV)
From that day David was persecuted and Saul tried to kill him at all costs.
In short, what I see is that we have to be careful with what we say, certainly they did not have the intention of causing problems to David but sometimes even though the intention is good, the words come out wrong and cause a lot of troubles.
God bless you.