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Psychic/Fighting
This is because Renamon can manipulate elements (fire and grass for example) to some degree. This is build up for her final form Sakuyamon who is pretty much elemental battlemage. Psychic is coincided to be the ''mage''/''magic' type (see: Delphox, who is based on a mage rpg archetype).
It might not be fitting for Renamon only since she is mainly a close range fighter and uses her magical capabilities rarely or just to enhance physical strength. But if the whole line was to be in the game then it would fit to Kyuubimon, Taomon and Sakuyamon a lot better because they lean more towards being mage than a fighter.
Fighting is fine for being secondary for the whole line because all of the evolutions can do melee-range fighting to some degree at least if it comes to it.