I really liked the style and ambiance of the game. The art is very good. And the plot and mystery of the game keeps you wanting to explore, which I love.
I have to say, I did not like how the floating girl form sloooowwwlyy floats down. It's not a big issue because you can just transform back to the sword or press "down", but I feel that it should just fall quickly by default. I think you meant it to be an "ability" for certain puzzles, but I didn't really see it utilized, so maybe if you utilized it I would feel differently.
I also don't particularly like that the sword can just fly around freely. It feels too powerful and doesn't make much sense for a sword. Maybe the characters should swap abilities in a sense. Make the sword able to "jump" small distances, and make the floating girl able to fly.
I also feel that maybe you should not allow transforming anywhere, but instead require something to transform. Maybe shrines could allow you to transform? Then you could add these to your exploration puzzle to increase the depth of the mechanics.
When you get to the big room with the statue of the king missing his sword, I feel like you are supposed to be the sword for the statue, and something would happen, but instead you just need to fly upwards. I didn't see the upwards pathway either, as it blended into the background too well. I only discovered it by flying around.
Good entry though, I really liked it. I assume I beat it. When I got to the woman in the tower and she says "You awoke. He's not back yet. etc" it just sent me to an empty brick screen and it seemed to freeze.