New rules in Xanathar's Guide are Optional/Variants to the Core Rules.
In the introduction to the book, the authors state (emphasis mine):
The first major rules expansion to the fifth edition of D&D, Xanathar’s Guide to Everything provides a wealth of new options for the game
Written for both players and Dungeon Masters, this source offers options to enhance campaigns in any world, whether you’re adventuring in the Forgotten Realms, another official D&D setting, or a world of your own creation. The options here build on the official rules contained within the Player’s Handbook, the Monster Manual, and the Dungeon Master’s Guide. Think of this source as the companion to those volumes. It builds on their foundation, exploring pathways first laid in those publications. Nothing herein is required for a D&D campaign — this is not a fourth core rulebook — but we hope it will provide you new ways to enjoy the game.
The introduction to Chapter 2 also states (emphasis mine):
It gives you new rules options, as well as some refined tools for creating and running adventures and campaigns. It is a supplement to the tools and advice offered in the Dungeon Master’s Guide.
The chapter opens with optional rules meant to help you run certain parts of the game more smoothly.
The material in this chapter is meant to make your life easier. Ignore anything you find here that doesn’t help you, and don’t hesitate to customize the things that you do use.
Guide for when Xanathar's mirrors Core Rules (errata, published Sage Advice, etc.)
Not all of Xanathar's content in Chapter 2 are of the Optional/Variant type.
When the book mirrors something that is an official Core rule errata, update, answer, then those ARE official Core Rule updates/clarifications. Unfortunately, there is no simple way to determine which rules discussed have that mirror. The Ten Rules To Remember on Page 5 does seem to be one of these mirrors and should be considered Core Rules Clarifications.