Probably not, but if it is a complex trust then you need to identify it that way, so whether it raises red flags or not you need to report it correctly. I disagree with Trust User a bit however. While it is true that a trust might be a simple trust one year and a complex trust another, that is not all that common. It is not just the actual distributions that are made that determines a simple trust, as Trust User indicated. For it to be a simple trust, the trust document must require that the trust distribute all its income for that year. Specifically, the Treasury regulations under IRC § 651, which govern simple trusts, states:
Section 651 is applicable only to a trust the governing instruments of which:
(a) Requires that the trust distribute all of its income currently for the taxable year, and
(b) Does not provide that any amounts may be paid, permanently set aside, or used in the taxable year for the charitable, etc., purposes specified in section 642(c),
and does not make any distribution other than of current income. A trust to which section 651 applies is referred to in this part as a “simple” trust.
Treas. Reg. § 1.651(a)-1. That is the definition of a simple trust. So to know if you have simple trust, you need to start by looking at the trust document to see if requires the distributions described above, i.e. distributions of all the current income and nothing else. If the trust document does not have that requirement for the year in question then for that year it is a complex trust even if in a particular year it only distributes current income. The same regulation goes on to say:
A trust may be a simple trust for one year and a complex trust for another year. It should be noted that under section 651 a trust qualifies as a simple trust in a taxable year in which it is required to distribute all its income currently and makes no other distributions, whether or not distributions of current income are in fact made. On the other hand a trust is not a complex trust by reason of distributions of amounts other than income unless such distributions are in fact made during the taxable year, whether or not they are required in that year.
Id. Because it is unusual for trust documents to require distribution off all current income in one year but not the next (although it can happen) you don't see trusts flipping from simple to complex or vice versa very much.