When, after my meditation, I pray for certain things, and then relax, the opposite of the outcome I want to happen pops up in my brain. For instance, if I pray for wealth, then I may picture myself as wealthy for a short time, but then the fear of being poor and losing everything grips me. Is this part of the process or am I not praying correctly?
There is probably nothing wrong with the way you are praying. What seems to be happening is that your prayer for wealth is triggering subconscious feelings associated with money, in your case, a fear of poverty.
Those activated deep memories and feelings radiate from you like a radio transmitter and actively manifest that financial lack. Unexamined and unresolved fears can thus counteract your prayers and conscious intentions and weaken their effect.
The fears and other underlying issues need to be dealt with so that your consciousness is integrated and congruent in manifesting your prayers. Working through these fears will take your prayers to a deeper, more powerful level of awareness where they will be answered more from a single authentic inner source.