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Currently, he is the most important player in Arsenal. Odegard is the bridge between the midfielders and the attackers. A perfect midfielder in the squad. If only they knew level of damage they has done to the Arsenal squad. Arteta will be grieving in pain by now. However, if I am in Arteta's position to fix a replacement for Odegard, I would prefer Trossard to fit in that position. The reason is because he is a very adaptable player, he controls both his right foot and his left foot. Someone in that position can possibly do what Odegard has been doing in the squad. Then Arteta should push Timber a little forward to fill in Declan Rice's space. And lastly Thomas Partey will hold firmly the midfield.
Trossard is not a player who can consistently play as a midfielder, he tends to play on the wing or as a center forward. It could also be that if Arteta applies another pattern, Trossard can be placed as a second striker. I'm not sure which player will replace Odegard's role, but at least Arsenal has several players who can be played temporarily to replace Odegard's role. We have seen when Trossard played as a midfielder, unfortunately his performance was less efficient in helping the front line. On the contrary, this is an opportunity for Kai Havertz, who admitted that he really enjoyed the role by being able to move freely. Well, Timber is a defender who has the type as you said. It's just that he has just made adjustments due to his long injury. Regarding Partey, of course Arteta will play him. Because, his role will be very much needed in the team. By the way, it seems that there has been a change in the odds provided by the bookies. Even so, Arsenal is still slightly more favored.