Hermione looks at the wand encased in ice. That wand meant a lot to her. It was there for her during a very difficult time in her life. It helped save her life multiple times during the Second Wizarding War.

She is tired. And exhausted. And it takes a little longer for her mind to work through the ways she could solve this situation.

"I will have to find my clutch. It has another wand in it."

She brings out her runes, to adjust her equation to start searching for clues to where to find the missing clutch. This calls for different runes to be used. Runes that belong to names and identities of other people in the Nexus, for perhaps one of them know who took her clutch.

"Would I still find you here, once I have done that? You won't sell it to anyone else, while I am searching for a proper trade."