Is there a time limit in Texas for an executor has to settle an estate?

The only time limit set by the laws is the amount of time that is allowed to pass until estate taxes are due. This is usually 9 months following a decedent's passing. As far as a time limit to settle an estate, this depends on many factors such as the allowance of claims against the estate, if there is contesting and fighting among the heirs or individuals who are not heirs, etc. There are some estates that have not been settled and the individual has been deceased for decades. I am sorry to tell you this, but as far as your question is concerned the answer is no, not until all factors in the process that have been met then at that time the property may and must be distributed unto the rightful beneficiaries. The only time limit is on fees and taxes.