I don't understand. There are no perfect match ups. Someone will do something you cannot. If your strength is the gun fighting abilities then that is what you do. Use your strength, minimize his strength. Use your range and mobility to your advantage. Allison is a good character, can she win? That depends on you, your ability to understand what is going on, and how to tilt the field in your favor. 

Your character also knows Akido, if you really know the art as well, then you can use your knowledge to employ moves that would work to help keep him off you. If not then you just have to wing it and make the moves flow logically. 

On the whole, evaluating the characters I think you actually have the advantage over Murphy/Pallas.  

The closest fight that I have been engaged in, on this site that was a near prefect match up has been Fury and General Freedom.