Can religion and science coexist?

Yeah, that's what I think as well, I just have noticed many people talk about them as if they are opposites and thus made this debate. That's why I am pro here

Gregor Mendel was religious, I think,
Didn't stop him from "gaining recognition as the founder of the modern science of genetics."
https://en.wikipedia.org/wiki/Gregor_Mendel

Georges Lemaître, also religious, I think,
"Was the first to argue that the recession of galaxies is evidence of an expanding universe and to connect the observational Hubble–Lemaître law[2] with the solution to the Einstein field equations in the general theory of relativity for a homogenous and isotropic universe."
https://en.wikipedia.org/wiki/Georges_Lemaître

Personally I don't think science and religion have to be 'so different.
I find a lot of game theory and psychology from various religions.

I think there are scientists who can be inspired by religion, who have advanced science by their inspiration.
. . .

That said,
Modern science seems a more rigorous examination to me
Something more hard and concrete,
Which does not mean religion is unvaluable,
I don't see soft knowledge as bad, I see it 'as invaluable as hard knowledge.

I think soft knowledge allows for meaning, flexibility, human.

Religion means both my religion specifically and the general concept of there being some being that made the world. Or rather, the second meaning is what I am proving, but I might use the first kn because if mine can fit science then that indirectly proves the general concept can fit

What is meant by "religion" and "science" exactly?