Can I just add my two cents worth? It probably won't be a popular reply, though.... :(
I think maybe your hubby just had a bit of a realization that your daughter is no longer his baby girl...she's got things going on 'upfront' so to speak, and Dads take a lot longer to realize what's happening than we Moms. It's a bit of a shock to look at your young daughter and see things developing, and I think it's quite common for Dads to be a bit freaked out by it. Considering they've been conditioned to 'look' since a young age, they feel uncomfortable with it and the disconcerting feelings it creates: "OMG!!..don't look! Arghhh!! What has happened to X??" Of course, it's definitely worth listening to his opinion (he is a man, after all!), but it's probably the 'suggestion' of lace that has got him in a twist.
I certainly don't think a tiny scrap of lace on a cami is, in any way, unsuitable. Trust me, the teeny tiny shorts my 13 year old (and all of her friends at High School) wear, reveal acres and acres of leg, and it's almost worse...! Very in your face! I do understand the other side of the discussion, and of course, no one wants their daughter to attract the wrong kind of attention at school, or outside school. But I think teenage boys are actually more focused on girls that wear MUCH more revealing clothing, and are more developed. Come on, you must remember the poor girls that got the attention at school. It wasn't for their huge brains... Bless them, teenage boys don't GET subtle hints of anything! Your daughter sounds like she has her head screwed on, and seems very sensible and confident. I'd say, just relax - you'll know when her outfit pushes the boundaries.