Question

Draw the electric field lines of forces from point charge to the plate​

Answer 1

Electric field just tells us the force (magnitude and direction) acting on the test charge not it's path.

Let's get to some basics.

the direction of acceleration (force) determine your path? No, your velocity does. The acceleration can only change the velocity.

For example, consider yourself moving along the positive x-axis due to a force in the same direction.

Now let the force change its direction in the positive y direction (with a large change in curvature of the field line). Does one move along the field line even when one has velocity in the x direction already?

We never applied brakes to that component of velocity, thus you still move towards both x and y axis even though the field line was only in the y axis.

Thus we didn't move along the field line !

Same is the case of a test charge.