This policy seems really irresponsible. It's making me angry on your behalf! And I can't get over how a consistent client can get axed because of their family members. What a way to treat struggling people.

These people really don't deserve to have any clients at all. But I get what it's like if you have been working with someone for awhile. I think you shouldn't hold back on telling your therapist about the effect of this on you- she needs to hear it. And that she didn't even give you a warning- it's galling.