Men tend to get invitations more quickly than women, and at least more often get them spontaneously.
That makes sense, as they may get a Friday night invitation in shul.
For some reason though, my experience does differ; I think we have divorced women for Shabbos seudos more often than divorced men, frequently with their children.
It saddens me that recently many of these single people (men, women, divorced, widowed, never married – it makes no difference) have not been able to get invitations due to social distancing.