This will always happen if you don't have a daily, weekly or monthly limit of what amount you should gamble with. If you have a limit and you haven't exceed the limit, then you have nothing to worry about even if you lose the first bet.
Your limit can`t protect you from losing, and, as result from fear of losing. It can only make your losing not so critical for your budget.
In your way of planning good idea is to set bet size, depends on your planned budget. You will know that you can lose 5-10-15 bets and it can help to avoid fear.
But if you feel fear from betting just avoid gambling - you don`t get positive emotions from the process, why do you want to torture yourself?