According to dualshockers, the wording from the two in-game might spark curiosity about hidden meanings regarding the relationship between them in the Western release, the official guide book confirms that the two are not in a romantic relationship. The two are simply just working together.

As mentioned in the image, they are just roommates and business partners. So it has been confirmed by the officials that they are not what we were thinking.

As you know Animal Crossing: New Horizons has a feature that does not care about your gender. You can wear what you want. If you are a male you can wear a skirt too. You can change your style at any point by simply going to a mirror in your house.

On the other hand, it seems that the feature we discussed is not given in the Japanese version of the game. As you can notice in the tweet given below, Japanese players are given the choice of choosing between a boy or a girl. And when speaking to C.J, in the Japanese version the translation shows that he refers to his friend rather than a partner.