Hi Aveeno00,
My very first therapist was a trainee. I really got along well with her and never felt her inexperience was a obstacle for our work together. As SP pointed out above, other factors like personality, gender, age, general vibes are equally important when it comes to creating a good therapeutic relationship. Unfortunately she finished her traineeship after we had been working together for three months and referred me to an other T with whom I really did not match. So I terminated after three sessions
. I would give it a go if I where you.
good luck!