I assume he's talking about fill flash...so you can get shots where the bride, groom or guest are correctly exposed while you keep a nice blue sky and the rest isn't burnt. Or in open shadows you can get good light for a part of the scene but a harsh ray of light or an unshadowed area will be burnt, fill flash will let you close the gap and get a decent exposure all over the frame. The thing with events is that you cannot control when things happen, so maybe it'll turn out that the presice moment where groom and bride arrive or leave the church is when you're getting a harsh sun light that will cast strong shadows and create a look that i really like but that ain't appropiate for weddings, there you got Fill flash to the rescue! i think he's refering to that kind of situations. Those situations are difficult to control, since you don't decide the itinerary, it might make difficult the shooting of nice candids and may make you lose nice moments, like the example before, if theres a strong variation in light and you get a part of her head in a strong black shadow, then you got to fill that shadow at least a bit with a small power output, so that it doesn't look like a film noir image.
Flash fill will get you great results if handled correctly, and sometimes the thing i hate about direct flash output, the flatness, can be liked by the wife since it erases lots of the skin imperfections.
One thing wedding photogs usually do aside from capturing the event as it rolls out naturally is to look for a nice location and take the newly weds, in all their splendor and apparell and take lots of portrait shots. In madrid lots of wedding photogs use el campo del moro, it's a palace "private" garden that's open to the public every day for a determined amount of time...there there are lots of open shadows and nice fountains, etc...so any sunny day you can see 7-8 couples with their photogs roaming around doing portrait shots, i know some photogs that cheat and do that a couple of days after when the light is just perfect.
Don't be afraid to talk to the couple and see if they would like portraits in a nice place with sentimental value, cheat a bit and do it the day where light is great. In that occasion bring reflectors and stands to get that perfect portrait they will put on the master bedroom.
You shouldn't fear bringing something like this either:
Impact Multiboom Light Stand and Reflector Holder Review for the posed portraits of the most relevant guests in the wedding itself. Scout the location days before the wedding happens, get there and chose a good location for the portraits, once in the event you can leave that corner setted while you take event shots, then you just ask the more relevant people to dedicate you a couple of seconds, usually they'll be delighted, you just gotta chose the right moment where you don't interrupt anything relevant.
Just after seeing your pages i doubt you'll encounter difficulties, and that i may be saying things you already know
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Nice website by the way...is it a wordpress theme?