Red Dwarf stars are long lived stars, they can continue to exist for trillions of years, though this one is expected to be 6-10 billion years old. It is also expected that it has close crossings with our solar system every 100,000 years.
I posit to you two things.
1) Red dwarf stars may harbour hospitable planets, close to the star where it is warm. We are looking for life on Jupiter's moons, driven not by light but heat from Jupiter's tidal wave forces, so it is conceivable that life can eventually evolve on such planets.
2) In the theory of panspermia, it is possible that our planet was seeded by outside worlds, you have probably heard of mars meteorites being investigated for bringing potential lifeforms here for example. But this theory works in reverse as well, it is thought that Earth itself may be seeding the galaxy with life as by chance bacteria get blasted off the biosphere and carried away on solar winds.
3) After 6 billion years, or at some 60,000 encounters with our Oort cloud, is it totally inconceivable that there might be either some kind of transfer that has taken hold between the worlds of Sol and Scholz? Or that life, arising independently there, wouldn't be interested in coming here as their only opportunity to travel between the stars?