How to you handle your ALPHA confidence when you know the other guy could defeat you in a fight ie. he is a very skilled martial artist - or more skilled than you are? Some of these guys you would be forced to back down from (right in front of your lady) or risk getting more than just a little hurt.
Possibly then, the lady might choose him over you???
First of all, let's be clear, this seems to me like a theoretical question. Instead of trying to prepare for a RARE eventuality like this, it's time to understand how to out-AMOG guys without having to resort to physical confrontation.
If he's a skilled Martial Artist, he wouldn't be putting you in that situation to begin with. Martial Artists don't generally pick fights unless they're pushed around.
There are MANY different avenues for handling aggressive guys without going to fisticuffs. The REAL Alpha Man knows that verbal disarmament is your first and best option. This will take care of guys in 99% of all situations.
The only time you need to respond with violence is when you're ATTACKED. Period.
If you are "called out" to fight someone over a woman, you didn't handle the situation correctly before that point.
95% of the guys out there don't have the balls to take it to a fight. They'll bluff and posture, and if you posture back with lame, grunting, pee-on-the-tree reactions, you'll get what you deserve. Never meet force with force. Always let the reed bend.
If a woman chooses him over you, you've just saved yourself the headache of dating a woman with a bloodthirst.
Count yourself blessed.
Now, don't spend one more minute preparing for a fear-based scenario like this. Start going out and just talking to women. We're talking about a very unlikely event. Instead, prepare for the interactions you have with the women. Much more productive.
If you'd like to see the best way to handle situations like this and retain your Alpha Status, check out the Alpha Man Immersion Program - How to attract women with your natural traits.