Hi Florence,
It's a Phalaenopsis orchid and the pot size looks about right to me.
There's an excellent (but lengthy) thread discussing these types of orchids that you might want to look at:
The thread "🗣 Starting out with Phals/Supermarket Orchids 🛎 ✍️" in
Orchids forum
In short, Phals don't like to be over-potted (a pot just big enough for their root system) and they will send out aerial roots too (don't cut these off), so their root systems can look a bit untidy.
