It is permissible for one who has broken his wudu’ to eat, and there is nothing disliked about doing so, and wudu’ need not be done immediately Sahih Muslim 374 b

Arabic hadith text
وَحَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، حَدَّثَنَا سُفْيَانُ بْنُ عُيَيْنَةَ، عَنْ عَمْرٍو، عَنْ سَعِيدِ بْنِ الْحُوَيْرِثِ، سَمِعْتُ ابْنَ عَبَّاسٍ، يَقُولُ كُنَّا عِنْدَ النَّبِيِّ صلى الله عليه وسلمفَجَاءَ مِنَ الْغَائِطِ وَأُتِيَ بِطَعَامٍ فَقِيلَ لَهُ أَلاَ تَوَضَّأُ فَقَالَ ‏"‏ لِمَ أَأُصَلِّي فَأَتَوَضَّأَ ‏"‏ ‏.‏
Translation
Ibn 'Abbas reported

We were with the Messenger of Allah (ﷺ) and he had come out of the privy. Food was presented to him. It was said to him (by the Companions around him): Wouldn't you perform ablution? Upon this he said: Why, am I to say prayer that I should perform ablution?