I feel like day 5 embryos are preferable to day 6, even if day 6 is rated better. The outcome stats are similar though (and I’ve had successes and failures with both). I’d trust the embryologist when they say you have a better chance with one over the other.
Not all the clinics use the same grading system, some grade from a to c and others from a to d, do not get to stress about it. If the embryologist decided to freeze it is because they trust it can survive and implant. Btw, I'm an embryologist doing her first fet next month!