Mandrakos03: Man I just had my ass handed to me by that same one too!
My guess is you don't. I had both my TITAN and a dragon take it on together, and they BOTH lost. My hero at the time was level 2. There was LITERALLY no way I could beat her.
I think it's the game's way of modifying difficulty or other depending on your performance.
A year later, I ran into her, or at least one very like her (my opponent only had like 87 speed). Massive combat, speed, damage, training (her units started at level 6 or so), could cast spells (she at least had Silver Arrow, not sure what else), 10 second or so conversion speed. Pretty stupid. The solution? Don't engage her until you've got a large stack of high end units, both melee and ranged.
I was using humans, with an archmage hero. I was also near the very end of the campaign (she was among the last 3-4 provinces remaining). My hero stayed the heck out of her way. Tried to keep my units out of her way, too. There were two barbarian sides in the map, and a large force of Elven Hunters separated her base from the rest of us. Of course, the Elven Hunters were allied with her...
Archmages are pretty awesome, because they can get the spells to answer a lot of different things. Archmages can straight up learn Magic Immunity, they can get Resist Fire (Fire Immune), Resist Missile (Missile immune). My archmage cleared a lot of the elven hunters and he could tank against towers to boot, without taking damage. Summon several unicorns for healing purposes, and sprites as both explorers and ranged fliers. Daemon summoning later in the map helps too.
The OP Elf hero ended up wiping one of the barbarians. Arrived at his base, and didn't walk away until he had nothing but two thralls. I start taking attacks from barbarian unit waves on one side, and High Elf unit waves on the other. Two barracks pumped out pikemen as fodder for repelling waves. I had a daemon and vampire from my retinue throwing out bats and imps as fast as their mana regenerated, and two ancient wisps were both building buildings and generating crystal to funnel through my market into gold or metal as needed.
I had to hold out long enough for the Knight Lords and Mages to stack up. 3 libraries were churning out mages (2 working on Red Mages (resist fire), 1 working on White Mages), and then I had as many Stables making Knight Lords as I could afford to keep working (and that I could actually keep not-destroyed, considering incoming waves).
At some point, the High Elf hero got caught up in assaulting the remaining barbarian base, which was well established by that point. They couldn't do any appreciable damage to her, but they were large and sprawling, which kept her busy. As soon as I realized my base wasn't being hit, I took my hero with the knight lords I'd already built (about half a dozen) and the mage squad (4 red, 2 white) and made a push on the High Elf base. A combination of conversion and razing eliminated the high elf base, and I swept around the map until I reached the barbarian base. By that point, I had over a dozen Knight lords, several stacks of mages, and 2 daemons (that I had summoned). She went down surprisingly fast, with very few casualties among my guys. My lack of casualties might have been because she wanted to escape since she had no base and the force was pretty overwhelming; she was stuck though, so she just stood there and died.