我不是英语专业的，就只是在省的重点师范大学心理学就读。想文一下就没有资格参加专业四级的考试？

当然有了。希望你能通过.

you certainly have the right to attend the examination.you also have the right to attend the level-8 one.
but you should first check out the date of the examination and get registered beforhand.
buy the way, i want you know the level-4 is obsolete in some sense and most of the internationlly prestigious corporation are not willing to recognize the certificate and they are inclined to embrace the candidates who hold and internationally recongnized certificates, such as TOEFL GRE or 托业(sorry,i have forgetten its english abbreviation)
especially 托业， which is increasingly gaining the international recognation nowadays.

现在专业英语的考试 已经向非英语专业者开放了