Change of name due to copyright, will new name work for SEO?

A web hosting customer of mine has a domain, let’s say it is (These are examples that reasonably represent how it is playing out) The owners of a trademark curly have demanded she drop the name, they are in the same fashion category.

She has negotiated with them and they will allow Not ideal after getting a brand established, but so far so good.

Her question (via me)​ is about using something like "Curl~e bumm" in content and also used curly in meta. From a search engine point of view (and customers being able to find her), would this would cause complications. SEO is a dark art to me 😛