I added data (33 observed variables, 8 latent variables, all are Likert scales) and ran CFA. Sample size is 618 respondents. A result was many fit indices (Chi-squre/DF, CFI, GFI, AGFI, NFI, NNFI, RMSEA, SRMR, and Hoelter's) are acceptable, except P-value. I modified my CFA model many times (about 11 times) by followed modification indices that suggested by a software. However, the P-value is still less than 0.05.
My question: is that acceptable if all fit indices are good, but the P-value is less than 0.05?