The idea behind your post escapes me. Since it’s under “traditional Catholicism” rather than under News, I assume perhaps you were thinking of the times in which the lector was the second of four ordines minores.
The Institutio Generalis Missali Romani (renewed after Second Vatican Council) does mention that appointed lectors, even though they be lay faithful, must wear “albs or other lawfully approved attire”. At the same time, it is also mentioned that “In the absence of an instituted lector, other laypersons may be commissioned to proclaim the readings from Sacred Scripture.” This appears to be the case here, and there is no specific requirement for the attire as far as I could see.
The head covering is a very nice gesture on her side: while this is no longer required, its original significance and scriptural foundation remains, intact and pristine.