>>> Our TV does not have an in built satellite receiver
I'm assuming that 'satellite receiver', in that sentence, should actually be 'Freeview tuner'. (Otherwise I'm lost, as the rest of your post seems to have nothing at all to do with signals from satellites!).
The standard that broadcast engineers always work too is that terrestrial TV signals should be strong enough to afford good reception to anyone in the relevant are who is using an outdoor aerial. (i.e. it's never their intention to provide good enough signals for use with indoor aerials). So there can never be any guarantees when it comes to using set-top (or similar) aerials.
However, given that you've got an unobstructed line of sight to the transmitter, you will probably be able to do what you're proposing as long as you use a decent
amplified indoor aerial, such as this one:
https://www.argos.co.uk/product/9588530