I am not a tutor nor have I ever used one...but if I was to choose a tutor I would want one earlier in the evening or at weekends.
I agree that 7pm is too late for a 9 or 10 year old child to be going out to be tutored - if they get home from school at say 3.30pm, do some homework, play, have tea, watch a bit of telly and wind down I think it's too much to expect them to be switched on and ready to start all over again at 7pm. Also, by the time they get home it would be gone 8pm then they need time to unwind after the session plus bath/shower, so bed time would get to be 9pm or later. Both my DS's are tucked up in bed by 8pm on a school night.
Not what you wanted to hear, and it's just my opinion, but I'm sure there are others that feel the same way