Times are gone for honest men

I'm assuming, since we are not doing dice-rolls or determining OOCly how this pans out, that we are fighting off of the traditional 3hit/1dodge fight rule in most RPGs. Generally, consecutive minor damages and dodges are considered powerplaying which is why in the 3-1 rule, a player is allowed 3 max dodges or minimal damages before an attack in its full must be taken. Since Burke has consecutively dodged and/or taken minimal damage in all attacks even though realistically he would have not been able to dodge them (1st was dodged, 2nd & 3rd were minimal damages taken) while Pallas has taken full damage on all accounts, I think it is only fair that Burke do the same. 

Fur and limb began to fly as the two vied for domination, though Pallas was fully aware of Zephyr's exit. Presently Burke was between her and Nemesis and this would bode in her favor, though kismet would not smile upon Pallas for long. Pallas was stupefied to see her blow, which should have hit home given the response time, was simply glanced off: there was not a massive size disparity between them and even a large wolf would have been at least staggered by a full chest ram. And yet, Burke hadn't even been knocked off balance. Pallas, breathless and beginning to grow frustrated, kept her body low after collision, though she deliberately kept the proximity between them very close to protect both her flank and neck. Every step she took she was reminded of the sharp pain in her haunch and the blood that matted her scruff. If she was lucky, Burke would commit another novice mistake and victory would be seized in her jaws soon.

Stupidly, the wolf lunged for her front leg which placed the back of his skull and spine directly under her teeth. Lunging so low had drawbacks; he was now beneath her, unable to see her jaws, and now, likely unbalanced. He had condemned himself to failure then: he would not be able to see her retaliation. Their proximity made Pallas confident in her next attack. With a lunge forward and downward Pallas countered the wolf's aim for her leg, her teeth seeking the base of his skull where skull attached to spine. Specifically, the atlas, though Pallas knew not the name. All she knew was Burke had exposed his entire spine in that move, and as soon as she seized flesh she would wring his neck back and forth in the attempt to kill; to snap his neck and end his cowardly life. He had been lunging downward and if and when her attack hit home it would deviate his attack and force him downward into the dirt. His teeth would rake her pasterns and break skin, but would not have any purchase. Pallas believed there was no possible way she could miss or that he could evade the blow, as it was not as if she was after a limb, which could be easily retracted. Burke's weight would be to his detriment here, for a large and lumbering tank of a wolf could not, and would not, be capable of suddenly retracting. Nor would he be able to lift his head so quickly in the hopes to jawspar. He had placed his head directly under her teeth, and had dove downward: that spelled victory to Pallas. Pallas put the entire of her weight into the attack, aiming to force him down by shouldering and keeping his head pinned to the ground between her teeth. Her jaws were not inactive during this time - any flesh she seized would be pinned, scissored and gnawed upon mercilessly down to the bone if she was able -- she would give him no quarter. He would be in excruciating and crippling pain, and that alone made her confident in her victory. She was now above him, and thusly, dominant. Quite simply put, his loss was inevitable and unless he called his slack-jawed ally off from attacking, they would reach a stalemate.  

If Pallas' aim was true and she had seized Burke's back of the head in her jaws, he would be forced to submit unless he willed his life to end then and there. Burke was lucky, for Pallas had never been a bloodthirsty wolf: if he submitted he would find his life spared -- but if he did not, he would find her jaws merciless in their execution.

TL;DR version: Pallas counters (minimal damage) Burke's attack for her foreleg by attempting to seize the back of his neck/base of his skull/spine in her jaws to snap/incapacitate him(attack 1), shove his head down with the entire of her weight both by shouldering him(attack 2) and is scissoring/gnawing/smashing with her jaws to cleave flesh and cause him excruciating pain (attack 3). Obviously, Pallas cannot kill your character without OOC consent, but she doesn't know that.