The Prophet Salih (pbuh) told them that this is she-camel of from Allah (swt), so do not harm her, she is a sign you asked for. The she-camel is added to the name of Allah (swt) meaning that she had a position and value, according to Who she has been added and related to, like when we say: The Book of Allah (swt), the House of Allah (swt), so that they should have appreciated her.
We notice that the Arabic word (she-camel) ends with the short A-vowel, this implies: Beware not to harm Allah’s (swt) she-camel, do not prevent her from drinking, this is Allah’s (swt) command so do not go beyond it, otherwise, this is the wickedness itself. Allah (swt) in another verse says:
{وَيَا قَوْمِ هَٰذِهِ نَاقَةُ اللَّهِ لَكُمْ آيَةً فَذَرُوهَا تَأْكُلْ فِي أَرْضِ اللَّهِ وَلَا تَمَسُّوهَا بِسُوءٍ فَيَأْخُذَكُمْ عَذَابٌ قَرِيبٌ}
(And O my people, this is the she-camel of Allah – [she is] to you a sign. So let her feed upon Allah ‘s earth and do not touch her with harm, or you will be taken by an impending punishment.”) (Hud: 64)