No, you will be happy to hear that your horse cannot die in Red Dead Online. It's important to note that after purchasing a horse, you will need to also purchase a Saddle for your horse by visiting the Stable, to be able to ride your horse. Once you purchased a Horse, you can of course name it however you want. On our website you can find the full RDR2 Horses Database with all Types, Prices, Rank Unlocks and more details. However, the Red Chestnut Arabian Horse can be acquired for free from a Stable (exclusively for PS4 Players for 30 days), and if you're an owner of the Ultimate Edition you also have access to a free Black Chestnut Thoroughbred. Horses can be purchased with in-game cash, and some of them can be also bought with the alternative Gold Bars Currency. Now, not all horses can be purchased immediately: better horse breeds require you to achieve a certain Online Rank before they become available. In addition, Red Dead Online features a Handheld Catalogue in your inventory, that you can access by holding the Left button on the D-pad: you can also purchase horses this way, anytime, anywhere.
While in Story Mode you could buy certain horses only from specific Stables, in Red Dead Online you can buy any horse you want from any Stable across all states. (spoiler: your horse can't die!) Buying Horses in Red Dead Online
We put together this comprehensive guide with everything you need to know about Horses in Red Dead Online, answering all the questions you might have on acquiring, selling and managing your Horses. In Red Dead Online, horses work differently from Red Dead Redemption 2 Story Mode in many ways, although some features are shared across both single-player and multiplayer.