I see that the earlier responses are rather concerning, and I would not have bought a Gatwick/Heathrow ticket either, but if this is a single ticket, you will ultimately get where you are going. There are lots of flights from Heathrow to Paris after the one you are scheduled to take.
I would, however, explore the possibility of changing the second flight to one that leaves a bit later. If you purchased the ticket from the airline, it won't hurt to call and express your concern. They may be willing to switch the second flight to something that gives you a bit of breathing room. I imagine that if you purchased from Expedia, etc., you won't have any luck getting the ticket changed ahead of time.
If you are certain you'll be taking a bus between the two airports (it's 46 miles, and a taxi would be very, very costly), I wonder whether it would be of any help to buy the bus ticket in advance? That could save some critical minutes and prevent your missing a bus. The National Express bus tickets are departure-specific, but you can pay 5 GBP extra to have the right to take a different bus (up to 12 hours earlier or later) if you need to. That would be cheaper (17 GBP for ticket + 5 GBP extra) than buying a fully amendable/refundable ticket at 27 GPB. Those are current prices for your travel date.
The bus fare is likely to go up if you wait till close to your travel date to buy the tickets. Tickets for travel later today and tomorrow are now selling at 27 GBP for an amendable (but not refundable) ticket, plus the 1 GBP booking fee. I don't know whether there's a specific date on which the fare jumps.
You'll need to know your arrival terminal at Gatwick and your departure terminal at Heathrow before buying a bus ticket.