Understanding PLL performance: PFD output bandwidth
Do you need a PLL? What are your distortion requirements, linearity of FM deviation versus input voltage? Don't rush off down the PLL route without having first looked at direct modulation.

Start with the specifications you require for the FM signal. Linearity and noise, as well as modulation bandwidth and deviation.

It is far simpler to modulate a VCO directly, lower power, if you can tolerate any tuning law non-linearity. Different VCOs have different linearity. A wide deviation VCO can be used in a small, nearly linear, part of its tuning curve.

Even if you've tried direct modulation and found it wanting, don't give up on it without a bit of investigation. I personally have used a VCO which had a kink in its tuning bandwidth curve at about 500kHz. The main LC tank tuning went via inductors, but the gain/sustaining tuning went via an RC. The manufacturer was persuaded to modify it to use inductors both both tuning points, which increased the flat bandwidth to more than 10MHz.

A colleague of mine made a TV transmitter exciter which started with two VCOs being modulated differentially and mixed, to get a low frequency, wide deviation, high linearity, low noise, wide bandwidth FM signal.

If you do end up using a PLL, then 10MHz bandwidth is fairly straightforward. You could use a digital phase detector. They don't quote a bandwidth, because it's as wide as permitted by the input rates, and limited by what you do with it afterwards. However, for wide bandwidths like 10MHz, I'd tend to use an analogue phase detector, an RF mixer with a DC-coupled IF. It's no faster, but is quieter and better behaved.