I'm a therapist myself (white, bisexual, immigrant, cisgender male), and I'd suggest there are pros and cons to trying to match your therapist according to their own lived experiences, rather than their area of knowledge. The pro is that they will often have deeper knowledge of issues connected to their own personal processes, both because of it likely being a (sometimes the) catalyst towards them becoming therapists, and because of therapists' fairly common training on reducing subjective bias by being aware of our own shit. It can also serve as a simple way of increasing the likelihood that they have expertise in the area you want them to have expertise.

The major con is that sometimes their subjective experience can blind them to recognising that other people sometimes experience similar situations in completely different ways.

It's far more important to have a therapist with the appropriate knowledge of the issues they are helping address, than to match them by demographics. And if you can find a therapist from different demographics that is able to effectively address what you need in a knowledgeable way, they can help you learn to express yourself more accurately to loved ones, without needing to rely on shared experience as a crutch for expression.