Yes, if you want the best result possible. Fillers have a place, for subtle enhancements: for example I have a small line in my elevenses - between my eyebrows. I enquired about botox and was told that filler would be better to smooth out the area. Similarly around the temples, under the eyes, sometimes the cheek area to sort of 'pad out' where fat loss has occurred. But only to a certain point, still in keeping with your face proportions.
You could definitely get another professional opinion. Just be careful that too much filler may distort your features. It may 'fill out' the area, if you use enough of it - but that may end up looking weird.. What you are dealing with is excess skin, no amount of cream, botox, fillers etc. can get rid of that.
There has been a bit of a move away from fillers as a fix all in the last few years, mostly because we can see the awful results of too much filler in celebrities (who by rights should have the best results because they are paying top dollar).
Added to that the technique for facelifts has improved massively compared to 20-30 years ago. They often used to just lift the skin which gave a weird rippled effect, and also the skin was pulled back toward the ear giving a sort wind tunnel look that just seemed odd. I always think of Stockard Channing in the West Wing...her face just looks odd. Nowadays a decent surgeon will lift more upward, which gives a more natural result (it's gravity pulling your face downwards after all). They also usually lift the fascia and tissue underneath and remove excess skin.
It's not that fillers are bad, but they can only do so much - once you tip over a certain point they are either going to give you a weird result (pillow face), or not fix what you want to fix. Also, I have heard that some fillers can stay in the face for much longer than they claim - several years in fact.
That's probably why for a 'best result' the woman recommended surgery - it was her professional opinion. Possibly said rather rudely, but still not incorrect.