This really matters and you do not need to put up with it.
1-2 degree tears aren't that "big" a deal, as long as they heal well and you are happy with the result. The muscles usually function perfectly well with a small tear - think of it as any other muscle, how many athletes get hamstring tears but go on to win championships? Scarring isn't necessarily a problem unless there is sensitivity there, and, even that can be treated.
3-4 degree tears are trickier to repair, but the outcome measure is the same - happiness with the result is what counts.
It's recent history, so, I wonder why the gynae mentioned scarring - do you have problems with poor healing? I wonder whether that is just standard pro + con chat, some women DO have problems with sensitivity on scar tissue. Can be treated, but it takes a bit of effort on the woman's part.
Get a referral to a pelvic physio (that's what I am) who'll be able to show you how to do pelvic floor exercises properly, and reassure you. I've seen hundreds of fannies and ones with missed second degree tears do just fine.
The important thing is that you are happy with it.
Congrats on the baby, too.