Do you spell the name alyx like this?

You are asking if "alyx" is the correct spelling. It is a valid spelling, though less common than "Alyx".

Here are some other common spellings:

* Alyx

* Alix

* Alx

* Allix

* Alys

The most common spelling seems to be Alyx, with Alix as a close second. The preferred spelling might depend on the context or the person's personal preference.