Is there an industry standard definition between "Board", "Card", and "Table Top" game genres?
Your game is a CCG. 

What you do with the cards - the actual mechanics of the game - is irrelevant here. A game's "type" is metadata. It's defined, roughly speaking, by the central piece of "equipment" needed to play it: a board, a table, minis, role playing, dice, an AV system, or, in your case, cards. Subtype, if any, usually describes the central mechanic. For example, Dominion and Magic the Gathering are both card games, but Dominion has a single showpiece mechanic which can be easily described (deck building), while Magic doesn't.


  Is there an industry standard definition between “Board”, “Card”, and “Table Top” game genres?


Not that I've ever heard of. As you can see just from looking at this page (the comments, boardgames.stackexchange.com, etc.) these terms are somewhat nebulous and different people take them to mean different things.


  Are there specific ways to determine how we should identify our game that are identified by the industry as a whole


Perhaps surprisingly, yes, there is an industry standard practice for supplying this sort of information about your game. Call it whatever you think succinctly, accurately and interestingly describes your game. For example, Netrunner self identifies as a "living card game"; Dominion, as a "deck building game"; Ra, as an "auction game"; Power Grid, as an "economic game". 


  do we simply need to pick our 'closest match' and try to clarify how we cross genres in the actual description of the game?


How you identify this aspect of your game is solely a question of marketing, and it's entirely up to you. Don't waste words trying to explain how your game straddles common genres in the industry. From a marketing perspective, it's boring, invites arguments, and most importantly, doesn't advance the idea that the game is worth buying and playing. Talk about the actual game itself and why it's cool and fun instead. The gaming community will naturally figure out which of the "traditional" labels fits best.