Sadness and lying plus offence
the Levi here is leaving out an important part here is that in the chapter before he pushed his concubine out the door so ....yes it was offensive what they did yet he shares a part of the blame in this so now because of his anger at her death he is getting others caught up in his offence
Judges 20:4–5Complete Jewish Bible
The Levi, the husband of the murdered woman, answered, “I came to Giv‘ah, which belongs to Binyamin, I and my concubine, to stay the night; and the men in Giv‘ah attacked me and surrounded the house I was staying in at night. They wanted to kill me, but instead they raped my concubine to death.