You're in a situation where you're with a r/l Mistress (in the same town, or close by?) who kind of ordered you to find an online Mistress to train you?
Interesting, for one thing those two ladies should be in touch with each other. It would be useful too if you settle will you always be strictly the slave of your online mistress when you're online, and will she be able to control whom you're interacting with, playing with (some Domiants wilol deamnd strict control of that).

Many people here have an etiquette rule of address that the Dominant's name is written in upper casing ("Sir James/Mistress Angela") but the sub's name in lower casing ("slave anne"); that applies also when it's just the first names, or when a pronoun is used ("Her slave/gumby's Domme")). Also, the slave should avoid when possible to refer to him/herself in first person (I, me, my) and say, like, "the slave's errors", "louise's Domme", "punishing slave kathleen". All of which is optional of course.