Leveling a Warrior in WoW Classic's hardcore mode (where you aim to avoid deaths as much as possible) can be a challenging but rewarding experience. Warrior is the most difficult class to level in the Hardcore challenge in Classic WoW by a large margin. Warrior lacks the damage, crowd control, AoE, self-sustainability, buffs, and escape tools that other classes possess, especially at low levels. However, despite these challenges, Warrior is the most popular class in Hardcore.
Here's a general leveling guide for a hardcore Warrior in WoW Classic:
Choose the Right Race
For Alliance players, Dwarves and Humans are good choices. Dwarves have Stoneform ability, and Humans have increased weapon skills. Their racial abilities offer extra survivability and utility.
For Horde players, Tauren and Orcs are solid picks, with Tauren having War Stomp for crowd control and Orcs benefiting from Hardiness for reduced stun duration.
Select the Right Professions
Consider choosing professions that complement your leveling journey.
Skinning and 
Mining can provide valuable resources and extra income, while 
Blacksmithing or 
Engineering can provide useful gear enhancements.
Herbalism and 
Alchemy can be useful for health and mana potions.
Spec Choices
While leveling, it's recommended to go with the Arms specialization for maximum damage output. Take Improved Heroic Strike and Anger Management to reduce your rage costs.
Prioritize talents that improve your survivability, such as Deflection and Improved Overpower.
Gear Optimization
Focus on acquiring gear with high DPS, and prioritize those with Strength, Stamina, and Attack Power bonuses.
Prioritize two-handed weapons for better damage, as they offer high burst damage.
Enhancements such as critical strike chance and hit rating are also valuable. Remember to replace outdated gear as you level up, and you can use Classic WoW hardcore gold to buy upgraded gear.
Do Quests and Grind Dungeons
Follow a questing path that maximizes your experience gain. Complete quests efficiently by focusing on specific areas or zones. When grinding, choose areas with densely populated enemies to maximize your kill rate. If you don't want to waste time on questing or grinding, buying fast hardcore boost is a convenient way.
Use Abilities Wisely
Prioritize using Rend, Thunder Clap, and Heroic Strike to maintain a consistent flow of damage.
Use Charge to engage enemies from a distance, Rend to apply damage-over-time effects, and Overpower as a powerful instant attack. Execute can be used to finish off low-health enemies.
Keep your Battle Shout up for extra attack power.
Save your rage for important abilities; don't waste it on unnecessary abilities.
Group Up
Joining a group or finding a leveling partner can significantly affect your leveling speed. Warriors excel in dungeons as tanks and DPS, so take advantage of group opportunities whenever possible, as Warriors can struggle with soloing some elites.
Defense and Survival
To minimize the risk of dying, always keep your gear repaired, carry healing potions, and use defensive abilities such as Shield Block and Defensive Stance when facing tough enemies or multiple mobs.
Other Tips:
Always carry health potions and bandages or eat food for emergencies to avoid death.
Utilize crowd control abilities like Hamstring and Rend to manage multiple enemies.
Keep your First Aid skill leveled up for self-healing.
Hardcore leveling can be challenging, so be prepared for unexpected encounters. Stay alert, plan your routes carefully, and have escape strategies in case things go wrong.
Remember, hardcore leveling adds an extra layer of challenge and risk to the game. So hardcore leveling can be slower and more challenging, so patience is key. Take your time and prioritize your character's survival over rushing to higher levels. If a situation looks too risky, don't be afraid to back off and reevaluate your approach to avoid unnecessary deaths.