Is your character actually native to the Feywild? If they were born and raised on the Material Plane I'd have a difficult time saying they're native to anything other than the Material Plane. The spell only sends you home when "the target is native to a different plane of existence than the one you're on".
Assuming they are, I'd talk to your DM about this. There are many things in the game that assume all players are humanoid. An example I've run into with a fairy in my party as an Oath of the Ancients Paladin is the Turn the Faithless ability which makes fey feared for a full minute after failing an initial save with no secondary chances to save. Our DM gave that character an item so it wouldn't happen again because it made the combat especially unfun for them. Likewise, failing a single Charisma saving throw on a level 4 spell and being (essentially) permanently lost to the Feywild doesn't sound fun. Asking your DM to not do this feels reasonable.
If you do get banished, look for Fey Crossings. There are portals between the Material Plane and the Feywild.
Fey crossings are places of mystery and beauty on the Material Plane that have a near-perfect mirror in the Feywild, creating a portal where the two planes touch. A traveler passes through a fey crossing by entering a clearing, wading into a pool, stepping into a circle of mushrooms, or crawling under the trunk of a tree. To the traveler, it seems like he or she has simply walked into the Feywild with a step. To an observer, the traveler is there one moment and gone the next.
Like other portals between planes, most fey crossings open infrequently. A crossing might open only during a full moon, on the dawn of a particular day, or for someone carrying a certain type of item. A fey crossing can be closed permanently if the land on either side is dramatically altered — for example, if a castle is built over the clearing on the Material Plane.